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Sagot :
The sum of the geometric series when the value of n is from 2 to 10 is 0.964. Then the correct option is C.
What is a series?
A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
The expression is 25(0.3)ⁿ⁺¹ and n varies from 2 to 10.
We know that the sum of the geometric series can be given as
[tex]S_n = a* \dfrac{1-r^n}{1-r}[/tex]
Where the common ratio (r) is 0.3 and a is the first term is 1.
[tex]\rm S_n = 1* \dfrac{1-0.3^9}{1-0.3}\\\\S_n = 1* \dfrac{0.9999}{0.7}\\\\S_n = 1.43[/tex]
Then we have
summation = 25(0.3)³ × 1.43
summation = 0.96423
More about the series link is given below.
https://brainly.com/question/10813422
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