Question
Download Solution PDFWhat is the sum of first eight terms of the series
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Sum of Geometric progression:
For a G.P. with n terms, common ratio r and first term a, the sum of n terms is given by:
Calculation:
Notice that the given summation is a G.P with common ratio
Since r < 1, the sum of the G.P is given by the formula 2.
For the given G.P.
Thus, the required sum is given as follows:
Therefore, the sum of the first 8 terms of the series
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