Calculate a7 for the geometric sequence in which a1=2,500 and the common ratio is 2/5

a7 is 10.24

Step-by-step explanation:

The formula for determining the nth term of a geometric sequence is expressed as

Tn = ar^ (n - 1)

Where

r represents the common ratio of the sequence.

a represents the first term of the sequence.

n represents the number if terms of the sequence.

We want to determine the 7th term of the geometric sequence, T7

From the information given,

a = 2500

r = 2/5

T7 = 2500 * 2/5^ (7 - 1)

T7 = 2500 * 2/5^6

T7 = 2500 * 64/15625

T7 = 10.24