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Evaluate the summation of 25 times 0. 3 to the n plus 1 power, from n equals 2 to 10. 0. 005 0. 321 0. 964 10. 714.

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