Question

Use the information given to identify the a7 term of the geometric sequence: a2 = −5, r = 2

Answer 1

Answer:

$a_{7}$ = - 160

Step-by-step explanation:

The n th term of a geometric sequence is calculated as

$a_{n}$ = a₁$(r)^{n-1}$

where a₁ is the first term and r the common ratio

Given

a₂ = - 5, then

a₁r = - 5, that is

2a₁ = - 5 ⇒ a₁ = - 2.5, thus

$a_{7}$ = - 2.5 × $(2)^{6}$ = - 2.5 × 64 = - 160