Answer :
The sum of the first 8 terms of the given geometric sequence is 1953120.
Geometric sequence calculation.
The given sequence seems to be a geometric sequence with the first term a=5 and the common ratio r=5. We can find the sum of the first n terms of a geometric sequence using the formula:
S_n = a(1 - r^n)/(1 - r)
Using this formula, we can find the sum of the first 8 terms as follows:
S_8 = 5(1 - 5^8)/(1 - 5)
= 5(-390624)/(-4)
= 1953120
Therefore, the sum of the first 8 terms of the given geometric sequence is 1953120.
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