Question

Find the 14th term of the geometric sequence 10,40,160

Answer 1

Answer:

671,088,640.

Step-by-step explanation:

To determine the 14th term of the geometric sequence that begins with 10, 40 and 160, knowing that each number is multiplied by 4, the following calculation must be performed, taking into account that the initial number (10) is multiplied by 4, and that said number must be potentiated 13 times to obtain the 14th term:

10 x (4 ^ 13) = X

10 x 67,108,864 = X

671,088,640 = X

Therefore, the 14th term of the geometric sequence will be 671,088,640.