Question

Give the tenth term in the geometric sequence.
2, 6, 18, 54, ...
A.39,366
B. 13,122
C, 4,374


#2.What is the sixth term in this geometric sequence?
480, 240, 120, 60, ...

A.15
B.30
C.7.5

Answer 1

1. The formula is: \[\LARGE 2 * 3^{n - 1}\] Replace n with 10 and you get the answer.

2. The formula is: \[\LARGE 480/2^{n -1}\] Replace n with 6 and you get the answer.

Answer 2

\[\LARGE a_n=a_1\cdot r^{n-1}\]
and \(\LARGE r=\frac{a_n}{a_{n-1 }}\)