Find the first six terms of the sequence. a₁ = -7, a_n = 4 • a_{n - 1}

Solution:

Given, first term a₁ = -7

a_n = 4.a_{n - 1}

We have to find the first six terms of the sequence.

\(a_{2}=4.a_{2-1}=4.a_{1}\\a_{2}=4(-7)= -28\)

\(a_{3}=4.a_{3-1}=4.a_{2}\\a_{3}=4(-28)= -112\)

\(a_{4}=4.a_{4-1}=4.a_{3}\\a_{4}=4(-112)= -448\)

\(a_{5}=4.a_{5-1}=4.a_{4}\\a_{5}=4(-448)= -1792\)

\(a_{6}=4.a_{6-1}=4.a_{5}\\a_{6}=4(-1792)= -7168\)

Therefore, the first six terms are -7, -28, -112, -448, -1792 and -7168.

Find the first six terms of the sequence. a₁ = -7, a_n = 4 • a_{n - 1}

Summary:

The first six terms of the sequence a₁ = -7, a_n = 4 • a_{n - 1} are -7, -28, -112, -448, -1792 and -7168.