CBSE Class 11-science Answered
Find the sum of 50 terms of the series 9 + 9.9 + 99.9 + 999.9 + …
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
The given series is 9 + 9.9 + 99.9 + 999.9 + …
Sum = 9 + 9.9 + 99.9 + 999.9+ ……50 terms
= [10 – 1] + [10 – 0.1] + [10 – 0.01] +…….50 terms
= [10 + 10 + 10 +…..50 terms] – [1 + 0.1 + 0.01 + 0.001 +….50 terms]
= 500 – (sum of G.P. of 50 terms with a = 1, r = 0.1)
Answered by | 04 Jun, 2014, 03:23: PM
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