Question

Given the recursive formula: a1=3 An=2(an-1+1) Find a2 a3 a4

Answer 1

Answer:

$a_2 = 8$

$a_3 = 18$

$a_4 = 38$

Step-by-step explanation:

We are given the following recursive formula:

$a_n = 2(a_{n-1}+1)$

And consider $a_1 = 3$

a2

$a_2 = 2(a_1 + 1) = 2(3 + 1) = 8$

a3

$a_3 = 2(a_2 + 1) = 2(8 + 1) = 18$

a4

$a_4 = 2(a_3 + 1) = 2(18 + 1) = 38$