Answer: 195312
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = 2
r = 10/2 = 5
n = 8
Therefore, the sum of the first 8 terms, S8 is
S8 = (2 × 5^(8) - 1)/5 - 1
S8 = (2 × 390624)/4
S8 = 781248/4
S8 = 195312
