Find the first six terms of the sequence. a₁ = -7, a_n = 2 • a_n-1

Solution:

It is given that

a₁ = -7

As the sequence is recursive, we can obtain the next term by multiplying the previous term by 2

Here the given series is a geometric progression with a common ratio equal to 2.

a₂ = 2 × a₁ = 2 × -7 = -14

a₃ = 2 × a₂ = 2 × -14 = -28

a₄ = 2 × a₃ = 2 × -28 = -56

a₅ = 2 × a₄ = 2 × -56 = -112

a₆ = 2 × a₅ = 2 × -112 = -224

a₇ = 2 × a₆ = 2 × -224 = -448

Therefore, the first six terms are -7, -14, -28, -56, -112, -224 and -448.

Find the first six terms of the sequence. a₁ = -7, a_n = 2 • a_n-1

Summary:

The first six terms of the sequence. a₁ = -7, a_n = 2 • a_n-1 are -7, -14, -28, -56, -112, -224 and -448.