Question

What is the 10th term of this geometric sequence?

an = 3(5)^n−1


(1 point)
Responses

29,296,875
29,296,875

1,953,125
1,953,125

9,765,625
9,765,625

5,859,375

Answer 1

To find the 10th term of the geometric sequence given by the formula \( a_n = 3(5)^{n-1} \), we need to substitute \( n = 10 \) into the formula.

\[
a_{10} = 3(5)^{10-1} = 3(5)^9
\]

Now, calculate \( 5^9 \):

\[
5^9 = 1953125
\]

Now multiply this result by 3:

\[
a_{10} = 3 \times 1953125 = 5859375
\]

Thus, the 10th term of the sequence is:

\[
\boxed{5,859,375}
\]