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Home / Doubts and Solutions/JEE/Mathematics

ques 35

Asked by rbhatt16 20th October 2017, 10:12 AM
Answered by Expert
Answer:
begin mathsize 12px style S subscript n equals space a space plus space a a space plus space a a a plus space................. space plus a to the power of n A b o v e space s e r i e s space c a n space b e space w r i t t e n space a s space S subscript n space equals space a space plus space a r space plus space a r squared space plus space a r cubed plus................. plus a r to the power of n minus 1 end exponent h e r e space r space equals space a semicolon F o r space t h e space a b o v e space m e n t i o n e d space s e r i e s space t h e space f o r m u l a space i s space g i v e n space b y S subscript n equals space fraction numerator a open parentheses r to the power of n minus 1 close parentheses over denominator open parentheses r minus 1 close parentheses end fraction i f space w e space s u b s t i t u t e space r space equals a space comma space t h e n space S subscript n space equals space fraction numerator a open parentheses a to the power of n minus 1 close parentheses over denominator open parentheses a minus 1 close parentheses end fraction end style
Answered by Expert 14th December 2017, 5:11 PM
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