Answer :
Taking 5 in common we get
5(1 + 11 + 111 + ....n)
Now Multiply and Divide by 9 we get
⇒ 
)
⇒ 
)
⇒ 
⇒ 
Now First term is in GP.
10, 100, 1000…to n terms
∴ Common Ratio = r = 
∴ Sum of GP for n terms = 
…(1)
⇒ a = 10, r = 10, n = n
∴ Substituting the above values in (1) we get
⇒ 
⇒ 
For the second term the summation is n.
∴ 
⇒ 
.
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