Question

Find the first four (4) terms of the sequence if An=(4) an-1 and a1 =3

Answer 1

3, 12, 48, 192

Explanation:

To find the first 4 terms substitute n = 2, 3, 4 into the recursive formula, that is

a₂ = 4a₁ = 4 × 3 = 12

a₃ = 4a₂ = 4 × 12 = 48

a4 = 4a₃ = 4 × 48 = 192

Thus the first 4 terms of the sequence are 3, 12, 48, 192