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Home / Doubts and Solutions/JEE/Mathematics

please solve encircled qns

qsnImg
Asked by arup.isro 20th August 2018, 11:06 PM
Answered by Expert
Answer:
begin mathsize 16px style square root of 2 plus fraction numerator 1 over denominator square root of 2 end fraction plus fraction numerator 1 over denominator 2 square root of 2 end fraction plus..... space 8 space terms straight a equals square root of 2 space and space straight r equals fraction numerator fraction numerator 1 over denominator square root of 2 end fraction over denominator square root of 2 end fraction equals 1 half straight S subscript straight n equals straight a open parentheses fraction numerator straight r to the power of straight n minus 1 over denominator straight r minus 1 end fraction close parentheses straight S subscript 8 space end subscript equals square root of 2 open parentheses fraction numerator open parentheses square root of 2 close parentheses to the power of 8 minus 1 over denominator square root of 2 minus 1 end fraction close parentheses straight S subscript 8 equals square root of 2 open parentheses fraction numerator 16 minus 1 over denominator square root of 2 minus 1 end fraction close parentheses straight S subscript 8 equals fraction numerator square root of 2 cross times 15 over denominator square root of 2 minus 1 end fraction cross times fraction numerator square root of 2 plus 1 over denominator square root of 2 plus 1 end fraction straight S subscript 8 equals fraction numerator 15 square root of 2 open parentheses square root of 2 plus 1 close parentheses over denominator 2 minus 1 end fraction straight S subscript 8 equals 15 square root of 2 open parentheses square root of 2 plus 1 close parentheses equals 30 plus 15 square root of 2 end style
Answered by Expert 21st August 2018, 11:06 AM
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