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.