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What is the formula for the nth term of the sequence 2,4,8,16,32

2 Answers

6 votes

Answer:

Below in bold.

Explanation:

4/2 = 2

8/4 = 2

Each term is obtained by multiplying the previous one by 2.

This is a geometric sequence with common ratio r = 2

the nth term

= a1r^(n-1) where a1 = the first term

= 2(2)^(n-1).

User Jphorta
by
8.6k points
9 votes


a_(n) = 2_(n)

Explanation:


a_(1) = 2


d = a_(2) - a_(1)


= 4 - 2 = > 2

Getting the nth term


a_(n) = a_(1) + (n - 1)d


a_(n) = 2 + (n - 1)2


a_(n) = 2 + (2n - 2)


a_(n) = 2 + 2n - 2


a_(n) = 2n

User Surya Neupane
by
8.0k points

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