Question

Write the first three terms of the sequence defined by the recursive formula if a1=2.

Answer 1

The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Given:

$an = \frac{an - 1}{4} - 2$

where,

n = number of terms

First term, a1 = 2

Second term, a2

$an = \frac{an - 1}{4} - 2$

a2 = {(2 - 1)/ 4} - 2

= 1/4 - 2

= (1-8) / 4

= - 7/4

Third term, a3

= {(3-1) / 4} - 2

= 2/4 - 2

= 1/2 - 2

= (1-4) / 2

= -3/2

Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Learn more about sequence:

brainly.com/question/6561461