The sum of the first 10 terms of the sequence is approximately 454.35.
Here's how to find the sum of the first 10 terms:
Identify the first term (a₁), common ratio (r), and number of terms (n):
a₁ = 25
r = 29/25 ≈ 1.16 (ratio between consecutive terms)
n = 10
Apply the formula for the sum of a finite geometric series:
Sn = a₁(1 - r^n) / (1 - r)
Plug in the values and calculate:
Sn = 25(1 - 1.16^10) / (1 - 1.16)
Sn ≈ 454.35
Therefore, the sum of the first 10 terms of the sequence is approximately 454.35.