Answer :

Let


S = 0.6 + 0.66 + 0.666 + .....n terms


Taking 6 as common we get


S = 6(0.1 + 0.11 + 0.111 + ...nterms)


Multiply and divide by 9


)


)




Now 1 + 1 + 1 + ..n = n


For 0.1 + 0.01 + 0.001 + ..nterms


Common Ratio = r =


Sum of GP for n terms = …(1)


a = 0.1, r = , n = n


Substituting the above values in (1) we get




For second term the summation is n.




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