Answer:
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
