Question

Find the 10th term in the geometric sequence below.





2, –4, 8, –16, …




A.

–1,024


B.

512


C.

1,024


D.

2,048

Answer 1

The nth term of a geometric sequence is given by: \[a_n = ar^{n-1}\]
Where a is the first term and r is the common ratio.

Since the first term is already given to you.
Calculate the common ratio and then find the 10th term by replacing 10 in place of n.

Getting this? :)