6, -12, 24, 8th term of geometric sequence

GPX asked Aug 11, 2023

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GPX asked Aug 11, 2023

by GPX

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17 votes

Answer:

a₈ = - 768

Explanation:

The nth term of a geometric sequence is

a_(n) = a₁
(r)^(n-1)

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r =
(a_(2) )/(a_(1) ) =
(-12)/(6) = - 2 , then

a₈ = 6 ×
-2)^(7) = - 6 × - 128 = - 768

Rockney answered Aug 15, 2023

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