Question

Find an equation for the nth term of a geometric sequence where the second and fifth terms are -24 and 1536, respectively.

Answer 1

give me a second for a calculator

Answer 2

k
\[a,ar,ar^2,ar^3,...\]
\[a,ar=-24, ar^4=1536\]
\[r^3=\frac{1536}{-24}=-64\]
\[r=\sqrt[3]{-64}=-4\]

Answer 3

\[a=\frac{-24}{-4}=6\] so the terms look like
\[6\times (-4)^n\]

Answer 4

an = 6 • (-4)n + 1

an = 6 • 4n

an = 6 • 4n - 1

an = 6 • (-4)n - 1

Answer 5

oh i see they want you to write
\[\large a_n=6\times (-4)^{n-1}\]

Answer 6

Okay I gotcha (:

Answer 7

lol good!