Question

Identify the 8th term of the geometric sequence -2, -12, -72 ...
a.-3,359,232
b. -559,872
c. 559,872
d. 3,359,232

Answer 1

\[{\rm A}_n = {\rm A} \times r^{n - 1}\]

Answer 2

A= first term =-2
r=Geometric ratio = -12/(-2) =6

Answer 3

Now, find A_8

Answer 4

One may notice that \({\rm A} = -2\) and \(r = \dfrac{\rm A_2}{\rm A_1} = 6\)

Answer 5

ive already tried solving it myself it just wasnt working out

Answer 6

\[A _8 = -2 \times 6^{8 - 1}\]

Answer 7

is the answer b?