Question

Find the indicated term of the given geometric sequence.


a = 14, r = –2, n = 11

Answer 1

-14336

Explanation:

We are given the first term (a) = 14, the common ratio (r) = -2 and the number of term (n) = 11 that we are to find for a geometric sequence.

We know that the formula of nth term for a geometric sequence is given by:

`n^(th)term = ar^(n-1)`

Substituting the given values in the above formula to find the 11th term:

11th term =
`14 * 2^(11-1)` = -14336