The sum of the sequence will be S = 8 / (1 – 0.2). Then the correct option is D.
What is the sum of the geometric series?
Let a be the first term and r be the common ratio. Then the sum of the geometric series will be
S = a / (1 – r) if r < 1
S = a / (r – 1) if r > 1
The sum of [tex]\rm \Sigma_{n = 1}^{\infty} 8(0.2)^{n - 1}[/tex].
Then the first term of the geometric sequence will be 8.
And the common difference between the successive terms will be 0.2.
The common ratio less than one, then the formula for the sum will be given as
S = a / (1 – r) if r < 1
Then the sum of the sequence till infinity will be
S = 8 / (1 – 0.2)
S = 8 / 0.8
S = 10
Thus, the sum of the sequence will be S = 8 / (1 – 0.2).
Then the correct option is D.
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