Question

Write a recursive rule for the sequence. 7, 6, 13, 19, 32, ...

Answer 1

recursive rule for the given sequence:

`a_n = a_(n-1)+a_(n-2)` for n > 2

Explanation:

Given the sequence:

7, 6, 13, 19, 32, ......

then;

First term
`(a_(1))` = 7

Second term
`(a_(2))` =6

third term
`(a_(3))` = 13 and so on..

You can see that:

`a_3 = a_1+a_2 = 6+7 = 13`

similarly for:

`a_4 = a_2+a_3 = 6+13 = 19` and so on..

The recursive rule for this sequence is:

`a_n = a_(n-1)+a_(n-2)` for n > 2