Question

These are the first six terms of a sequence

starting with a1 = 39.
39, 58, 77, 96, 115, 134, ...
Find a recursive and an explicit formula for this sequence.
The recursive formula should depend on an - 1.
Recursive formula: an =
Explicit formula: an =

Answer 1

Hi,

Explanation:

The sequence is an AP with first term equal 39 and common difference equal 19.

Recursive formula:

`a_1=39\\a_n=a_(n-1)+19`

Explicit formula:

`a_n=39+19*(n-1)\\`