What is the sum of the geometric sequence 2, 10, 50, ... if there are 8 terms? (1 point) 39,062 58,593 195,312 292,968

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

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step-by-step explanation:

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