Find the 16th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 1.

Find The 16th Term Of The Arithmetic Sequence Whose Common Difference Is D=9 And Whose First Term Is

Answers

Answer 1

Answer:

136

Step-by-step explanation:

Common difference of 9 means that each term is 9 apart from each other:

1 + 9 = 10 + 9 = 19 + 9 = 28 ...

We can then find the nth term

The difference is 9 → 9n

The 0th term is 1 - 9 = -8

nth term = 9n - 8

Finally plug in (substitute) 16 for n

9(16) - 8 = 144 - 8 = 136

The 16th term is 136

Answer 2
Question : -

Find the 16th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 1.

Given : -

common difference ( d ) = 9

first term ( a ) = 1

To Find : -

We have to find the 16th term of Arithmetic Progression or sequence .

Concept : -

Concept of this question belongs to arithmetic progression ( sequence ) where we can find the values of a , d , nth term by using nth term formula .

So Starting the Solution : -

We know that 16th term of a.p. is ,

a + ( 16 - 1 ) d

a + 15 d --------- ( 1 )

Here value of ,

a = 1

d = 9

Substituting, value of a and d in equation 1 :

1 + 15 ( 9 )

1 + 135

136

Therefore , 16th term of the given arithmetic progression is 136 .

# [tex] \rm{Keep \: Learning}[/tex]

Related Questions

Use a truth table to determine whether the two statements are equivalent.

Answers

Answer:

the statements are not equivalent

What is the answer to this word problem:

The sum of two numbers is 207. The difference between the two numbers is 11.
Find the greater number?

Answers

Answer:

109

Step-by-step explanation:

let the greatest number=x

therefore, the other number=x-11

Since, x+x-11=207

         ==> 2x-11=207

         ==> 2x=218

         ==> x=109

I need to know the answers for this question

Answers

Answer:

Answer is 6^9 ÷ 6^-2

Step-by-step explanation:

6^14 ÷ 6^2 = 6^14-2

= 6^12

And

6^9 ÷ 6^-2 = 6^9-(-2)

= 6^11

Which is less than 6^12

Hope that my answer is helpful to you

Find the product
-3.5(5/7)

A. -2.5
B. -2.1
C.-4.9
D. 2.5

Answers

Answer:

A. -2.5

hope that helped <3

HELP LAST ATTEMPT ( get marked brainliest show work

Answers

Area is length X width. So 16.25x 11.75= 190.9375 ft squared. Divide this by 20ft squared since that is how much is in a bag. And you get 9.54 which is abt 10 so that is your answer

Answer:

10

Step-by-step explanation:

Since we are dealing with area, we need to multiply 16 1/4 by 11 3/4.

If we do that, we get 190 15/16

So, if we divide 190 15/16 by 20:

[tex]190 \frac{15}{16} / 20 = 9.5[/tex]

You cannot have half a bag however. You will need to round the number to 10.

The original price of a computer was reduced by 120 dollars. The new,
discounted price is 899 dollars.
Mathematical sentence?

Answers

Answer:

x-120=899

Step-by-step explanation:

(x=1019)

3 × 10d what is this please I. In a math test

Answers

Answer:

30d

Step-by-step explanation:

Ms. Knight's two cooking classes are
making a total of 30 sweet potato
pies. Each pie requires 2 % sweet
potatoes. Her first class makes 1/3 of
the total number of pies needed.
Exactly how many sweet potatoes
will her second class need in order to
make the remaining pies?

Answers

Answer:

20

Step-by-step explanation:

In class 1, they used 10 sweet potatoes.

If they need 30, in class 2, they used 20.

The second class needs 0.4 sweet potatoes to make the remaining pies.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

If Ms. Knight's two cooking classes are making a total of 30 sweet potato pies and each pie requires 2% sweet potatoes, then the total amount of sweet potatoes needed is:

30 pies x 2% sweet potatoes per pie = 0.6 sweet potatoes

Her first class makes 1/3 of the total number of pies needed, which is:

1/3 x 30 pies = 10 pies

This means that the first class used:

10 pies x 2% sweet potatoes per pie = 0.2 sweet potatoes

So, the second class needs to make the remaining pies, which is:

30 pies - 10 pies = 20 pies

The second class needs to use:

20 pies x 2% sweet potatoes per pie = 0.4 sweet potatoes.

Therefore, the second class needs 0.4 sweet potatoes to make the remaining pies.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

If 5^x= 1 over 125 what is the value of x

Answers

The answer I think would be 125

√(x2−2x−2)+√(2x−3)=5

Answers

[tex]\\ \sf\longmapsto \sqrt{(x^2-2x-2)}+\sqrt{2x-3}=5[/tex]

We know

if x=√a+√b then

x^2=a+b+2√ab

[tex]\\ \sf\longmapsto x^2-2x-2+2x-3+2\sqrt{(x^2-2x-2)(2x-3)}=5^2[/tex]

[tex]\\ \sf\longmapsto x^2-3+2\sqrt{2x^3-4x^2-4x-3x^2+6x+6}=25[/tex]

[tex]\\ \sf\longmapsto 2\sqrt{2x^3-7x^2+2x+6}=25-x^2+3=28-x^2[/tex]

[tex]\\ \sf\longmapsto \sqrt{2x^3-7x^2+2x+6}=\dfrac{28-x^2}{2}[/tex]

[tex]\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{(28-x^2)^2}{4}[/tex]

[tex]\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{784-56x^2+x^4}{4}[/tex]

[tex]\\ \sf\longmapsto 8x^3-28x^2+8x+24=784-56x^2+x^4[/tex]

[tex]\\ \sf\longmapsto x^4-8x^3-28x^2-8x+760=0[/tex]

Solving further

The equation has no real solutions .(attached a pic of calculator )

Answer:

[tex]{ \rm{ \sqrt{( {x}^{2} - 2x - 2) } + \sqrt{(2x - 3)} = 5 }}[/tex]

• let's first collect like terms

[tex]{ \rm{ \sqrt{( {x}^{2} - 2x - 2)} = 5 - \sqrt{(2x - 3)} }}[/tex]

• Then, let's take a square:

[tex]{ \rm{ {( \sqrt{( {x}^{2} - 2x - 2)}) }^{2} = {(5 - \sqrt{(2x - 3)} )}^{2} }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = (5 - {(2x - 3)}^{ \frac{1}{2} } )(5 - {(2x - 3)}^{ \frac{1}{2} }) }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = 25 - 10 \sqrt{2x - 3} - 2x - 3 }} \\ \\ { \rm{ {x}^{2} - 2x + 2x - 2 - 22 + 10 \sqrt{2x - 3} = 0}} \\ \\ { \rm{ {x}^{2} + 10 \sqrt{2x - 3} - 22 = 0}} \\ \\ { \rm{the \: roots \: of \: the \: equation \: are \: not \: real}}[/tex]

Answer: x = 3(-1 + i) or 3(-1 - i)

Compute the value of S

Answers

Step-by-step explanation:

sum of all angles of triangle are 180°

therefore,

angle,

P + T + S = 180°

P = 90° , T = 36° ( given )

so,

90 + 36 + S = 180

126 + S = 180

S = 180 - 126 = 54°

S = 54°

therefore, S is 54° so, option D is correct.

hope this answer helps you dear...take care and may u have a great day ahead and! also ur exam/test goes well!

Determine the percent of the figure that is unshaded(there are 360 in a circle)

Answers

Answer:

Approx 41.7%

Step-by-step explanation:

150/360=0.41.666666667

0.417*100=41.7%

everything i am unsmort
in school ima get an hour for not doing the home work its maths help me ill ask you once i geta respomse

Answers

Answer:

I might be able to help what do you need to know

If w = 71 + 91, what is the direction of -2w? same direction as opposite direction of​

Answers

Answer:

opposite

Step-by-step explanation:

it's negative

a light flashes every 8 seconds how many times will it flash in 3 minutes​

Answers

21 times per minute

Jeremy needs 1/2 cup of milk for 2/3 cup of oats how many cups of milk is needed for each cup of oats

Answers

Using the principle of proportional relationship, the number of milk cups required per cup of oat is 0.75 cups

Setting up a proportional relationship between milk and oat :

1/2 cups = 2/3 cups

x cups = 1 cup

Cross multiply :

(2/3)x = 1/2

0.666666x = 0.5

Divide both sides by 0.66666 to isolate x

x = 0.5 / 0.666666

x = 0.75

Therefore, 0.75 cups of milk is required per cup of oat.

Learn more : https://brainly.com/question/18112348

solve pls brainliest

Answers

Answer:

162

Step-by-step explanation:

Answer: 162

Step-by-step explanation:

The formula for this is lxw (length x width) so just multiply 6 by 27 which gives you 162.

The midpoint M of QR has coordinates (6,5). Point R has coordinates (5,0). Find the
coordinates of point Q.
Write the coordinates as decimals or integers.

Answers

Answer:

The answer for this question is11÷2&5÷2

#1: mZGKH =
O*
1 point
G
H
(9x + 3)
(13x – 11°
к
Your answer
This is a required question
a

Answers

I don’t know bud
Step by step
.............

A woodworker builds a box as a present for her daughter. The box has a length of 2x + 2, a width of 3x, and a
height of 4x-2 Find the surface area and volume of the box in terms of x.
help me please

Answers

Answer:

Step-by-step explanation:

Length, L = 2x + 2

Width, W = 3x

Height, H = 4x - 2

[tex]Surface\ Area = 2 (LW + WH + HL)\\\\[/tex]

                     [tex]= 2 ( (2x +2)(3x) + (3x)(4x -2) + (4x - 2)(2x + 2))\\\\=2(6x ^2 + 6x + 12x^2 - 6x + 8x^2 + 8x - 4x - 4)\\\\=2(26x^2 +4x -4) \ square \ units[/tex]

[tex]Volume = L \times W \times H[/tex]

           [tex]= (2x+2)(3x)(4x-2)\\\\=(6x^2 + 6x)(4x-2)\\\\=24x^3 -12x^2 + 24x^2 - 12x\\\\=24x^3 +12x^2 -12x \ cubic \ units[/tex]

Claire bought just enough fencing to enclose either a rectangular garden or a triangular garden, as shown. The two gardens have the same perimeter. How many feet of fencing did she buy?

Answers

She bought 124 feet of fencing. Hope it helped!

Answer:

124

Step-by-step explanation:

Given,

Perimeter of fencing bought by Claire for rectangular garden

= 2(4x - 4 + x - 4)

= 2 ( 5x - 8 )

= 10x - 16

Perimeter of fencing bought by Claire for triangular garden

= (3x - 1) + (3x - 1) + 3x

= 3x + 3x + 3x - 1 - 1

= 9x - 2

Since,

The two gardens have same perimeter,

By the problem,

10x - 16 = 9x - 2

=> 10x - 9x = 16 - 2

=> x = 14

Hence,

Feet of fencing bought by her,

Putting value in any of the perimeters of the gardens,

10x - 16

= 10(14) - 16

= 140 - 16

= 124 feet (Ans)

Solve for x

Angles around a point




Answers

Answer:

205°

Step-by-step explanation:

The total circle is 360°. The right angle is 90°, and you know the other angle is 64°. 90° + 64° is 154°. 360° -154° is 205°.

Answer:

We know that the angle around any given point is 360°

Therefore, according to the given problem,

[tex]x° + 64° + 90° = 360° \\ x° + 154° = 360° \\ x° = 360° - 154° \\ \boxed{x° = 206°}[/tex]

Hence, the value of x° is 206°

x° = 206° is the right answer.

. M is the midpoint 'of RS, and
M has coordinates (2,6).
R has coordinates (-10, 6).
Find the coordinates of S.

Answers

Answer:

the answer is of mid piont (4&6)

Type the correct answer in each box.
62 =
82 =
=
152 =
=

Answers

20 this is telling me u needs to have 20 characters long

Answer:

The answer would be 6^2 = 36 , 8^2 = 64, 15^2 = 225

Step-by-step explanation:

Answer on Edmentum!

Can someone plz help me

Answers

9514 1404 393

Answer:

  (C)  Mr. Dixon saved about $500

Step-by-step explanation:

The prices can be rounded to hundreds to give ...

regular price: $2500sale price: $2000

The sale price is about 20/25 = 4/5 of the regular price. It is about 2500-2000 = 500 dollars lower.

The true description is ...

  Mr. Dixon saved about $500

Runner David Time 13.5 Sanya Time16 Jeremy Time 12.6 Erica Time 15.2 Chen Time 12.8 Yusuf Time 11.8 Matt Time 17.2 Sarah 12.1 What is the median in the race

Answers

Answer:

13.5 + 16 + 12.6 + 15.2 +12.8 + 11.8 + 17.2 + 12.1

                                  8

= 94.2/8

= 11.76

First rearrange them in order, least to greatest: 11.8, 12.1, 12.6, 12.8, 13.5, 15.2, 16, 17.2
Median: 12.8 + 13.5 / 2 = 13.15

Ans: 13.15

How do you transpose a number

Answers

Answer:

Transposing a number is a type of error where two digits swap position in the sequence. An example would be to enter 13 instead of the desired 31. It could also be the error of dropping a needed zero as in writing 15 instead of the desired 150.

Step-by-step explanation:

Unless by "number" you mean musical score. Then transposing is rewriting the score in a new key.

I’ll give BRAINLIEST help pls

Answers

Answer:

ok

Step-by-step explanation:

you do  a little bit of this a little bit of that and get ok

find (f.g)(-3)when f(x)=-5x-7 and g(x)= 7x^2-2x+9​

Answers

Answer:

[tex]f(7 {x}^{2} - 2x + 9) \\ = - 5(7 {x}^{2} - 2x + 9) - 7 \\ = - 35 {x}^{2} + 10x - 45 - 7 \\ = - 35 {x}^{2} + 10x - 38 \\ f.g( - 3) = - 35 {( - 3)}^{2} + 10( - 3) - 38 \\ f.g( - 3) = -383[/tex]

Solve for m.
2
√5= 3
= 3
6+25
26-25
02.5-6

Answers

Answer:

Simplify the matrix.

2√5=3=3,31,1,−3.5

Step-by-step explanation:

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