The first term of a geometric sequence is - 10 and the common ratio is 4 what is the fifth term of the sequence

a (5) = - 2560

Step-by-step explanation:

The general form of the equation of a geometric series is

a (n) = a (1) * (r) ^ (n-1),

where a (1) is the first term, r is the common ratio.

Here, a (1) = - 10 and r = 4, so

a (n) = - 10 (4) ^ (n-1).

The fifth term of this sequence is a (5) = - 10 (4) ^ (5-1), or

a (5) = - 10 (4) ^ (4), or a (5) = - 10 (4) ^4 = - 2560