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Home / Doubts and Solutions/JEE/Mathematics

ques no37

Asked by chandanbr6004 30th November 2017, 9:36 PM
Answered by Expert
Answer:
begin mathsize 16px style 1 minus 2 straight x plus 3 straight x squared minus 4 straight x cubed plus....... is space AGP so space common space ratio space is space minus straight x straight S plus xS equals 1 minus open parentheses straight x minus straight x squared plus straight x cubed plus... close parentheses straight S open parentheses 1 plus straight x close parentheses equals 1 minus fraction numerator straight x over denominator 1 plus straight x end fraction straight S equals fraction numerator 1 over denominator open parentheses 1 plus straight x close parentheses end fraction minus straight x over open parentheses 1 plus straight x close parentheses squared equals open parentheses 1 plus straight x close parentheses to the power of negative 4 end exponent now space coeff space of space straight x to the power of straight r space in space open parentheses 1 plus straight x close parentheses to the power of negative straight n end exponent space is space equals open parentheses negative 1 close parentheses to the power of straight r space end exponent cross times straight C presuperscript space space straight n plus straight r minus 1 end presuperscript subscript straight r now space coeff space of space straight x to the power of straight n space in space open parentheses 1 plus straight x close parentheses to the power of negative 4 end exponent space is space equals open parentheses negative 1 close parentheses to the power of straight n space end exponent fraction numerator open parentheses straight n plus 3 close parentheses open parentheses straight n plus 2 close parentheses open parentheses straight n plus 1 close parentheses over denominator 3 factorial end fraction end style
Answered by Expert 1st December 2017, 6:16 PM
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