Question

If a1= 2 and an = (an-1)2- n then find the value of a3

Answer 1

To find the value of a3, substitute n=3 into the given formula and calculate step by step. The value of a3 is 1.

Step-by-step explanation:

To find the value of a3, we need to substitute the value of n=3 into the given formula and calculate step by step.

Given: a1=2, an = (an-1)2 - n

a1 = 2 (Given)

a2 = (a2-1)2 - 2 = (a1)2 - 2 = 22 - 2 = 4 - 2 = 2

a3 = (a3-1)2 - 3 = (a2)2 - 3 = 22 - 3 = 4 - 3 = 1

Therefore, the value of a3 is 1.