An expression for the nth term of another sequence is 11 – n2 (i) Find the third term of this sequence.
(ii) Find the fifth term of this sequence.

Answers

Answer 1

Answer:

3rd term of this sequence = 2

5th term of the sequence = -14

Step-by-step explanation:

nth term = 11 - n²

(i) Find the third term of this sequence

When n = 3

nth term = 11 - n²

3rd term = 11 - 3²

= 11 - 9

= 2

3rd term of this sequence = 2

nth term = 11 - n²

Find the fifth term of this sequence.

When n = 5

5th term = 11 - 5²

= 11 - 25

= -14

5th term of the sequence = -14


Related Questions

can't figure out this problem can anyone help if so thank you

Answers

Answer:

10th term of the sequence = 0.537

Step-by-step explanation:

First three terms of the sequence are → 5, 4, [tex]\frac{16}{5}[/tex]..........

Ratio of 2nd and 1st term of the sequence = [tex]\frac{4}{5}[/tex]

Ratio of 3rd and 2nd term of the sequence = [tex]\frac{\frac{16}{5} }{4}[/tex]

                                                                        = [tex]\frac{4}{5}[/tex]

Therefore, ratio between every successive term to the previous term is common.

Common ratio 'r' = [tex]\frac{4}{5}[/tex]

First term of the sequence 'a' = 5

nth term of a geometric sequence = [tex]a(r)^n[/tex]

Therefore, nth term of the given term will be  [tex]T_n=5(\frac{4}{5})^n[/tex]

Now we have to find the 10 term of the given sequence.

For n = 10,

[tex]T_{10}=5(\frac{4}{5})^{10}[/tex]

      = 0.53687

      ≈ 0.537

Therefore, 10th term of the sequence is 0.537

Distribute: -1/2(10b + 18)
please i need this before 8:00pm

Answers

Answer:

-5b - 9

Step-by-step explanation:

-1/2 (10b) = -5b

-1/2 (18) = -9

Richard learned a total of 30 appetizer recipes over the course of 6 weeks of culinary school. After 7 weeks of culinary school, how many total appetizer recipes will Richard know? Assume the relationship is directly proportional.

Answers

30/6=5
He learns 5 recipes a weeks so 7x5=35
Richard will know 35 recipes in all

What is the slope of the line shown?

Answers

Answer:

The slope of the line shown is 2

Please help don’t know answer

Answers

Answer: y= X+3

Step-by-step explanation:

slope intercept form is y=mx+b where m is the slope and b is the y- intercept

Question 1. If the perimeter of Rectangle ABCD is 34y+2. What is the width?

Question 2. What is the area of Rectangle ABCD in terms of y?

Question 3. If the perimeter of the rectangle is 70. What is it’s area?

Question 4. What are the length and width of the rectangle?

Answers

Answer:

Question 1. If the perimeter of Rectangle ABCD is 34y+2. What is the width?

Question 2. What is the area of Rectangle ABCD in terms of y?

Question 3. If the perimeter of the rectangle is 70. What is it’s area?

Question 4. What are the length and width of the rectangle?

A laptop has a price $300. The store is giving a 15% discount for the laptop. How much will the laptop cost?

Answers

15% off of 300 would be 255

Help I’m so close and I really wanna sleep ;-;

Answers

Answer:

8

Step-by-step explanation:

Preety Sure is 8

Answer:

8

Step-by-step explanation:

Since it starts from 6, count by +1 till you get at the blue dot

Amanda buys 2 1/2 pounds of lemons. The Lemons were $2.00 per pound. How much did Amanda spend on lemons (give an explanation on what you did and how your approach was accurate)

Answers

Answer:

1.25

Step-by-step explanation:

if you divided it and then simplified you would have your answer

Find the magnitude of the vector.
17i – 39j

Answers

I don’t get the question

ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP

Answers

Answer:

Its the second option

Step-by-step explanation:

Use triangles ABC and A'B'C' for Exercise. Use the coordinates to find the lengths of the sides.
please help is due in 20 minutes

Answers

Answer:

AB = 2

BC = 2

A'B' = 6

B'C' = 6

Step-by-step explanation:

b2-5c
b=15 & c=9
if you can show the work it would be really helpful:)

Answers

I just plugged in 15 for b and 9 for c and got -15

Find the area A of polygon JKLMNO with the given vertices.
J(-1,2), K (1,2), L (3,3), M (3,1), N (1,0), 0(-1,-3)
A-
square units

Answers

Answer:

11 square units

Step-by-step explanation:

Find the distances and then add them all together. Distance formula: d,———-(square root) (x2-x1)2+(y2-y1)2

Hey Everyone I was asking anyone can help with this problem it would really appreciated.

Answers

Answer:

angle G = angle I

HGI=HIJ by RHS fact

HGI=HIJ corresponding angles are alwyas congurrent

Estimate each sale price for each item.$8.60 and $40.60

Answers

Answer:

is that even the full answer because I don't know if that is

How many times does 3/4 go into 1 1/2

Answers

Answer:

2

Step-by-step explanation:

In order to divide these fractions, you must turn the mixed number into a fraction like below:

1 1/2 = (2 x 1 + 1) / 2 = 3/2

In order to divide fractions, you must multiply by the reciprocal of the denominator. In this case, you are dividing (3/2) / (3/4) and 3/4 is the denominator.

3/2 * 4/3 = 12/6 = 2. Your answer is 2.

help plssss I will do anythinv

Answers

the answer is 3 feet 7 inches

10. If the triangle has a perimeter
of 33 inches and has sides
measuring x + 2, X-6, and 2x + 1,
find the value of x.

Answers

Download Cymath it help you

The only coins that Kyle has are dimes and quarters. He has a total of 30 coins. The total value of Kyles coins is $4.80. Which of the following systems of equations can be used to find the number of dimes, d, and the number of quarters, q, kyle has?

Answers

Try 12 quarters = $3

Try 18 dimes = $1.80

30 coins check

$4.80 check

PLZ mark brainiest

Common factor: 3x^2y^2z^2+5xyz—8x^2

Answers

Answer:

x

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

What is an
equation of the line that passes through the points (-6,5) and (6, 7)?

Answers

Answer:

Y= -x - 1

Step-by-step explanation:

das it   :->

Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)​

Answers

Answer:

13

Step-by-step explanation:

Replace X with 2

Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)​

g(x) = 3(2)^2 – 2(2) + 5

Next conduct PEMDAS

Exponents are first so solve 2^2 which is 2 x 2 = 4

g(x) = 3(4) – 2(2) + 5

Next step is multiplication multiply 3 x 4 and 2x2

g(x) = 12 – 4 + 5

conduct adding and subtracting left from right

g(x) = 13


[tex]5x {}^{2} + 2x - 3 - px - p[/tex]

Answers

Answer:

5x² + 2x - 3 - px - p

= 5x² + 5x - 3x - 3 - p(x + 1)

= 5x(x + 1) - 3(x + 1) - p(x + 1)

= (x + 1)(5x - 3 - p)

2.) Add unlike fractions using the butterfly method.
1 point
c) of the teacups in Lily's Tea Shop, 1/5 are teal and another 1/10 are yellow. What fraction
of the teacups are either teal or yellow?
3/10
5/10
7/10
O 1/10

Answers

Answer:

3/10

Step-by-step explanation:

1/5=2/10

2/10+1/10=3/10

Answer:

ITS 3/10 AND CAN SOMEONE PLS ANSWER MY MOST RECENT QUESTION.

Factor completely 7x2-45x-28

Answers

9514 1404 393

Answer:

  (x -7)(7x +4)

Step-by-step explanation:

The term -45x can be rewritten using factors of (7)(-28) that have a total of -45. Those factors would be ...

  (7)(-28) = (4)(-49)

7x^2 +4x -49x -28 = x(7x +4) -7(7x +4) = (x -7)(7x +4)

What’s the answer laaalalalalalaaaaaa

Answers

Answer: The slope is -1/2, the y-intercept is 4, and the equation is y=-1/2x+4

Step-by-step explanation:

4. The difference between a number x and 12.

Answers

Answer:

12 - x

Step-by-step explanation:

The population of the United States in 1990 was 85,455,930 in 2003 it was 104,538,348 what was the percent change

Answers

Answer:

22.33%

Step-by-step explanation:

22.33% hope this helped!

Kevin pays $12.95 for a text messaging service plus $0.07 for each text message he sends. Which of the following equations could be used to represent the total cost, y, when x represents the number of text messages sent?

Answers

Answer:

y=0.07x + 12.95

Step-by-step explanation:

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