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Home / Doubts and Solutions/JEE/Mathematics

Marked question

Asked by rbhatt16 6th October 2017, 9:46 PM
Answered by Expert
Answer:
begin mathsize 16px style Given space series space is 1 plus 2 straight x plus 7 straight x squared plus 20 straight x cubed plus.......... up space to space straight n space terms Given space series space at space straight x equals negative 1 1 minus 2 plus 7 minus 20 plus................. up space to space straight n space terms Consider comma option space left parenthesis 1 right parenthesis at space straight n equals 1 space straight S subscript 1 space equals space 1 over 16 open curly brackets 4 cross times 1 plus 3 plus open parentheses negative 3 close parentheses to the power of 1 plus 1 end exponent close curly brackets equals 1 at space straight n space equals space 2 straight S subscript 2 space equals space space 1 over 16 open curly brackets 4 cross times 2 plus 3 plus open parentheses negative 3 close parentheses to the power of 2 plus 1 end exponent close curly brackets equals negative 1 similarly space at space straight n space equals space 3 straight S subscript 3 space equals space 6 From space the space series space 1 minus 2 plus 7 minus 20 plus................. up space to space straight n space terms straight S subscript 1 space equals space 1 comma space straight S subscript 2 space equals space 1 space minus space 2 space equals space minus 1 comma space straight S subscript 3 space equals space 1 space minus space 2 space plus space 7 space equals space 6 Hence comma space its space verified space that space option space left parenthesis 1 right parenthesis space is space correct. end style
Answered by Expert 18th December 2017, 11:13 AM
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