Question

Which of the following is the formula for the geometric sequence?
4.5, 27, 162, 972 ...
A. an=4.5(2)n-1
B. an=4.5(6)n-1
C. an=6(2)n-1
D. an=6(4.5)n-1

Answer 1

just as the earlier one...
\[A_{n} = ar^{n-1}\]

a = first term = 4.5
r = common ratio = 27/4.5 = 6

so... its
\[A_{n} = 4.5 \times 6^{n-1}\]

which is the second choice :)