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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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The number of weeks required to have enough money in account to buy computer is 12

<em><u>Solution:</u></em>

Given that Maya has $210 in a savings account for a new computer the computer cost $537.15 including sales tax

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<em><u>To find: number of weeks required to have enough money in the account for the computer</u></em>

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Let "a" be the number of weeks required to have enough money in account to buy computer

Each week she deposits $27 into the account

<em><u>So we can we frame a equation as:</u></em>

total cost of computer = Amount in savings account + (number of weeks x 27)

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