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nekit [7.7K]
3 years ago
15

What is the 8th term of the geometric sequence 8,16,32

Mathematics
1 answer:
ratelena [41]3 years ago
7 0

the 8th term of the geometric sequence 8, 16, 32 is 1024

<h2>Explanation</h2>

<u>we know that</u>

geometric sequence 8, 16, 32

<u>the </u><u>question</u><u> </u><u>is</u>

the 8th term

<u>the </u><u>answer </u><u>is</u>

first we have to find the ratio

\sf r=  \frac{ U_2}{U_1}  \\  \sf r=  \frac{ 16}{8} \\  \sf r = 2

than, we have to find the 8th term

\sf U_n = ar^{n-1} \\ \sf U_8 = 8 \times 2^{8-1} \\ \sf U_8 = 8 \times 2^7 \\ \sf U_8 = 8 \times 128 \\ \bold {\sf U_8 = 1024}

<h2>Learn more</h2>

About geometric pattern

brainly.com/question/16762536

<h2>Answer details</h2>

grade: 7th

subject: mathematics

chapter: sequence

keywords: geometric sequence

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Olivia is planning to study for 8 hours. she has to spend studying English twice the time she needs for science and the time she
vaieri [72.5K]

Answer:

science = \frac{4}{3} \ hours

English = \frac{8}{3} \ hours

Math = 4 hours

Step-by-step explanation:

let the number of hours spend on science = x

Hence the number of hours on English will be = 2x

Given that the number of hours spend on science is one third of the time spend on maths. Hence the time spend on math is 3 times that of the time spend on science. That the time spend on maths is = 3x

Hence the total time to study is

x+2x+3x

which is given as 8 hours

Hence

x+2x+3x =8

6x=8

dividing both sides by 6

\frac{6x}{6}=\frac{8}{6}

x=\frac{8}{6}

x=\frac{4}{3}

Hence the number of hours foe studying science = \frac{4}{3}

Number of hours to study English = \frac{4}{3} \times 2=\frac{8}{3}

Number of hours to study Math= \frac{4}{3} \times 3=4

5 0
3 years ago
What is the other polynomial send help please
posledela
In mathematics, a polynomial<span> is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a </span>polynomial<span> of a single indeterminate x is x</span>2<span> − 4x + 7.</span>
6 0
3 years ago
Find the length of side xz give your answers to 3 significant figures
aleksandrvk [35]

Answer:

XZ ≈ 14.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = \frac{adjacent}{hypotenuse} = \frac{ZY}{XZ} = \frac{12.6}{XZ}

Multiply both sides by XZ

XZ × cos29° = 12.6 ( divide both sides by cos29° )

XZ = \frac{12.6}{cos29} ≈ 14. 4 ( to 3 sig. figs )

3 0
3 years ago
Cesar bought 20 boxes pizza. He gave 14 boxes of pizza to his classmates. Write the percentage of pizza left.​
LenaWriter [7]

Answer:

30%

Step-by-step explanation:

total boxes of pizza = 20

he gave away 14 boxes

so pizza left is 20 - 14 = 6 boxes

to calculate percentage = 6 / 20 * 100

= 6 * 5

= 30%

5 0
3 years ago
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65m/s in 5 seconds what
artcher [175]

The acceleration is defined as the ratio between the change in velocity and the time elapsed to perform such a change.

These "changes" are indicated with the capital greek letter delta, \Delta, and when you write \Delta x you mean the difference between the finial and the inital values of the variable x:

\Delta x = x_{\text{fin}} - x_{\text{init}}

So, the acceleration is defined as

a = \dfrac{\Delta v}{\Delta t} = \dfrac{v_{\text{fin}} - v_{\text{init}}}{t_{\text{fin}} - t_{\text{init}}}

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a = \dfrac{65-35}{5-0} = \dfrac{30}{5} = 6m/s^2

3 0
3 years ago
Read 2 more answers
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