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Answer:
Option D. is the correct option.
Step-by-step explanation:
In this question expression that represents the kth term of a certain sequence is not written properly.
The expression is .
We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as .
where k is from 1 to 10.
By the given expression sequence will be
In this sequence first term "a" =
and common ratio in each successive term to the previous term is 'r' =
r =
Since the sequence is infinite and the formula to calculate the sum is represented by
[Here r is less than 1]
S =
Now we are sure that the sum of infinite terms is .
Therefore, sum of 10 terms will not exceed
Now sum of first two terms =
Now we are sure that sum of first 10 terms lie between and
Since
Therefore, Sum of first 10 terms will lie between and
.
Option D will be the answer.