Question

A sequence can be generated by using an=4an−1 where a1=6 (a) 6, 20, 76, 300 (b)6, 24, 96, 384 (c)6, 10, 14, 18 (d) 6, 20, 100, 500

Answer 1

The correct answer is B. 6, 24, 96, 384

Explanation:

Let's calculate the first four terms of the sequence, this way:

an=4an−1 where a1=6

First term:

aₙ = 4aₙ₋₁ ,where a₁ = 6

Second term:

a₂ = 4a₁ = 4 * 6 = 24

Third term:

a₃ = 4a₂= 4 * 24 = 96

Fourth term:

a₄ = 4a₃= 4 * 96 = 384

The correct answer is B. 6, 24, 96, 384