What is the value of n if the sum of n terms of the G.P. 2,23,29 ...is8027?


Answer:

4

Step by Step Explanation:
  1. In the given G.P., the first term, a=2 and
    the common ratio, r=ak+1ak where k1
    r=232=13
  2. The sum of first n terms of this G.P. is given by,
    Sn=a(1rn)(1r)=80272(1(13)n)113=80272(1(13)n)23=802762[1(13)n]=8027[1(13)n]=8081(13)n=1808113n=1813n=34n=4

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