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CBSE Class 11-science Answered

Kindly answer this .
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Asked by Kchawla94 | 02 Mar, 2019, 02:31: PM
answered-by-expert Expert Answer
begin mathsize 12px style S space equals space open parentheses 1 plus 1 half close parentheses squared space open parentheses 1 plus 1 third close parentheses squared space open parentheses 1 plus 1 fourth close parentheses squared space.................... open parentheses 1 plus 1 over 10 close parentheses squared S space equals space open parentheses 3 over 2 close parentheses squared space space open parentheses 4 over 3 close parentheses squared space space open parentheses 5 over 4 close parentheses squared space space open parentheses 6 over 5 close parentheses squared.......... space open parentheses 11 over 10 close parentheses squared end style
 
It is to be noted in the above expression that numerator of a given term and denominator of the next term are identical.
Hence in product these identical terms are cancelled out
 
Hence remaining terms are (11/2)2
 
Hence S = ( 121 / 4 )
Answered by Thiyagarajan K | 02 Mar, 2019, 04:08: PM

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