Find the first six terms of the sequence. a₁ = 1, a_n = 4 • a_{n - 1}

Solution:

It is given that

a₁ = 1

As the sequence is recursive, we can obtain the next term by multiplying the previous term by 4

a₂ = 4 × a₁ = 4 × 1 = 4

a₃ = 4 × a₂ = 4 × 4 = 16

a₄ = 4 × a₃ = 4 × 16 = 64

a₅ = 4 × a₄ = 4 × 64 = 256

a₆ = 4 × a₅ = 4 × 256 = 1024

a₇ = 4 × a₆ = 4 × 1024 = 4096

Therefore, the first six terms are 1, 4, 16, 64, 256, 1024 and 4096.

Find the first six terms of the sequence. a₁ = 1, an = 4 • a_{n - 1}

Summary:

The first six terms of the sequence. a₁ = 1, a_n = 4 • a_{n - 1} are 1, 4, 16, 64, 256, 1024 and 4096.