The formula for any geometric sequence is a n = a 1 · r n - 1, where a n represents the value of the nth term, a 1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ... ?

Question

Mathematics

Eileen

15 August, 16:09

The formula for any geometric sequence is a n = a 1 · r n - 1, where a n represents the value of the nth term, a 1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ... ?

+4

Answers (1)

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Foley · Answer 1

So first is 4

1st=4

2nd=8

3rd=16

it seems that they are not just multiplied by 2

therefor there is an exponent

we notice that

4=2^2

8=2^3

16=2^4

therefor

the formula is

nth term=2^ (n+1)