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Find an explicit rule for the nth term of the sequence.

1, 3, 9, 27, ...
an = 1 • 3n + 1
an = 3 • 1n - 1
an = 1 • 3n - 1
an = 1 • 3n

2 Answers

4 votes
hello ;
an = 1 • 3n - 1
User Soren Stoutner
by
7.9k points
6 votes

Answer:

Option C is the correct answer.

Explanation:

1, 3, 9, 27, ...

This is an example of Geometric progression.

First term, a = 1

Common ratio, r = 3

We have n th term of GP


a_n=ar^(n-1)

Substituting


a_n=ar^(n-1)=1* 3^(n-1)

Option C is the correct answer.

User Ross Angus
by
8.3k points
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