Question

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

Answer 1

Answer:

recursive rule for the given sequence:

$a_n = a_{n-1}+a_{n-2}$        for n > 2

Step-by-step 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