How do I write a recursive formula for this sequence? 2, 6, 18, 54, 162, ... I already know the common difference is x3.

Question

Mathematics

Kash Stone

13 October, 02:48

How do I write a recursive formula for this sequence? 2, 6, 18, 54, 162, ... I already know the common difference is x3.

+2

Answers (1)

Know the Answer?

Aspen · Answer 1

For the sequence 2, 6, 18, 54, ..., the explicit formula is: an = a1! rn"1 = 2! 3n"1, and the recursive formula is: a1 = 2, an+1 = an! 3. In each case, successively replacing n by 1, 2, 3, ... will yield the terms of the sequence. See the examples below.