Please help me find the value of X for geometry

The first five terms of a geometric sequence are 5, 10, 20, 40, 80.

A geometric sequence is also known as Geometric Progression (GP) is a non-zero numerical series whereby each term succeeding the very first is determined by multiplying the preceding one by a fixed, non-zero value designated as the common ratio.  

It can be expressed by using the formula:

[tex]\mathbf{a_n = ar^{n-1}}[/tex]

where;

Given that;

∴

The second term of the sequence is:

[tex]\mathbf{a_2 = 5 \times 2^{2-1}}[/tex]

[tex]\mathbf{a_2 = 5 \times 2^{1}}[/tex]

[tex]\mathbf{a_2 = 10}[/tex]

The third term of the sequence is:

[tex]\mathbf{a_3 = 5 \times 2^{3-1}}[/tex]

[tex]\mathbf{a_3 = 5 \times 2^{2}}[/tex]

[tex]\mathbf{a_2 = 20}[/tex]

The fourth term of the sequence is:

[tex]\mathbf{a_4 = 5 \times 2^{4-1}}[/tex]

[tex]\mathbf{a_3 = 5 \times 2^{3}}[/tex]

[tex]\mathbf{a_4 = 40}[/tex]

The fifth term of the sequence is:

[tex]\mathbf{a_5 = 5 \times 2^{5-1}}[/tex]

[tex]\mathbf{a_3 = 5 \times 2^{4}}[/tex]

[tex]\mathbf{a_4 = 80}[/tex]

Learn more about the Geometric sequence here:

https://brainly.com/question/1509142

Answer:

n=2

Step-by-step explanation:

3n-7=3-2n

5n=10 (add 2n on both sides and also add 7 on both sides of the equal sign)

n=2

DUBS

Answer:

[tex]n=2[/tex]

Step-by-step explanation:

[tex]3n-7=3-2n[/tex]

[tex]3n-7+7=3-2n+7[/tex]

[tex]3n=-2n+10[/tex]

[tex]3n+2n=-2n+10+2n[/tex]

[tex]5n=10[/tex]

[tex]\cfrac{5n}{5}=\cfrac{10}{5}[/tex]

[tex]n=2[/tex]

It cannot be compared, so answer 3 :)

Step-by-step explanation:

0 and 1. is better according to me

Answer:

11 years old

Step-by-step explanation:

33+11=44 (four times of Jerry's age)

44÷4=11 (Jerry's age)

Hope this helps! Thanks.

Answer:

C

Step-by-step explanation:

sana maka tulong

i purple u

Answer:

B: 4 and 5

Step-by-step explanation:

I'm not 100% sure but all of the other angles don't look congruent

Answer:

or

Step-by-step explanation:

Answer: 30

Step-by-step explanation: You should be correct because 1.5*20=30

Answer:

First Game: 65 points

Second Game : 65 points

Third Game : 59 points

Step-by-step explanation:

Average = sum of values/number of values

The number of values = 3, an d average = 63

63 = x/3

63 * 3 = x

189 = x

Now 189 is the sum of points over two games.

Their first two games are worth the same, so lets call that s +s = 2s

Their 3rd game is worth 6 less points than s, so s-6

let's add up all the terms:

2s + (s - 6) = 3s - 6

Solve:

3s - 6 = 189

3s = 195

s = 65

The first two games are worth 65, and the third game is worth 65 - 6 = 59.

-Chetan K

Answer:65, 65 and 59

Step-by-step explanation:

If represented by x and y, (2x+y)/3=63

So 2x+y=189

So if x=y+6

Put the value of x into the equation

2x + y = 189

2(y + 6) + y = 189

2y + 12 + y = 189

3y = 189 - 12

3y = 177

y = 177/3

y = 59

Therefore, x = y + 6 = 59 + 6 = 65

Answer:45

Step-by-step explanation:

3 3/4 x 12 bc a dozen=12 u would get 45

Answer:

2

Step-by-step explanation:

I believe it is 2 sorry if you get it wrong.

Answer:

2 are linear

Step-by-step explanation:

They create a straight line when a line is drawn through the points

Answer:

that's false

Step-by-step explanation:

3.2 is like 3x2 which equals 6

Hope this helps sorry if i'm wrong loll

Answer:

Answer is 10% of 30 = 3

Answer:

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Side length =2.5

length new side = 6x6.5=

15

Answer:

y = - 8x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 8 , then

y = - 8x + c ← is the partial equation

To find c substitute (9, - 73 ) into the partial equation

- 73 = - 72 + c ⇒ c = - 73 + 72 = - 1

y = - 8x - 1 ← equation of line

Answer:

= -10x + 175

Step-by-step explanation:

(4(-2x+35)) + (-2x+35)

= -8x+140 - 2x + 35

= -10x + 175

Total weight of fruit:  1/8 + 1/4 + 1.25 = 1.625 pounds

Cost of fruit: 1.625 x 0.80 = $1.30

Cost of cheese = total spent - cost of fruit:

Cost of cheese = 4.05 - 1.30 = $2.75

Answer: $2.75

Answer:

1+2=3

3×0.8=2.4

4.05-2.4=1.65

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

$46 in total

Hats: $2.75 * 4 bags = $11

Napkins: $3.50 * 2 packs = $7

11 + 7 = 18

$46 - $18 = $28

$2.00 / 28 = 14

If cups and plates were $2.00, that means it would take 14 sets to fill the remaining $28.

Answer:

Step-by-step explanation:

To find out the sales tax rate, we divide the sales tax by the cost of the item. This will give us what percent of the cost of the item the sales tax is equal to.

So, 20.4 divided by 340 = 0.06

To convert to percent, we multiply 0.06 by 100=6. Therefore, the sales tax rate is 6%.

Check:

340 times 0.06 (the sales tax rate) is 20.4 (the sales tax).

Answer:

[tex]656[/tex]

Answer:

Step-by-step explanation:

The point will be 2 on the x-axis and 5 on the y axis.

Answer:

I feel the question is incomplete but there's another formula (which we can only use if the points are the intercepts on the x and y axis)

x/a + y/b = 1( a= intercept on x axis ; b = intercept on y axis )

x/2 + y /5 = 1

multipy both sides by 10

5x + 2y = 10

2y = 10- 5x

divide both sides by 2

y = 5 - 5/2x

y = -5/2 + 5(the equation of the line if the two points are the intercepts on the both axis

Answer:

[tex]x = 56.02 \degree[/tex]

Step-by-step explanation:

To find the angle you have to use sin rule

[tex] \sin( \theta) = \frac{opposite}{hypotenuse} [/tex]

Let the unknown angle be x

[tex] \sin(x) = \frac{o}{h} \\ \sin(x) = \frac{34}{41} \\ \sin(x) = 0.8292 \\ x = \sin ^{ - 1} 0.8292 \\ x = 56.02 \degree[/tex]

Hope this helps you

Let me know if you have any other questions :-):-)

Q: (2a-b) * (a-2b)

[tex](2−)(−2)[/tex]

[tex]2(−2)+(−2)(−)[/tex]

[tex]22−4+(−2)(−)[/tex]

[tex]22−4−(−2)⋅[/tex]

[tex]22−4+22−⋅[/tex]

Q: (4x - 2) * (x -4)

[tex](4−2)(−4)[/tex]

[tex]4(−4)−2(−4)[/tex]

[tex]42−16−2(−4)[/tex]

[tex]42−16−2+8[/tex]

[tex]42−16−2+8[/tex]

[tex]42−18+8[/tex]

[tex]42−18+8[/tex]

Hope its help you !!

Answer: 3.7 x 10⁻⁸

Step-by-step explanation: None

five hundred twenty-one billion