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ques no 20

Asked by chandanbr6004 18th November 2017, 2:53 AM
Answered by Expert
Answer:
begin mathsize 16px style 1 over straight a subscript 1 comma fraction numerator begin display style 1 end style over denominator begin display style straight a subscript 2 end style end fraction comma..... comma fraction numerator begin display style 1 end style over denominator begin display style straight a subscript 2 end style end fraction space is space in space AP
fraction numerator begin display style 1 end style over denominator begin display style straight a subscript 2 end style end fraction minus fraction numerator begin display style 1 end style over denominator begin display style straight a subscript 1 end style end fraction equals straight d
fraction numerator straight a subscript 1 minus straight a subscript 2 over denominator straight a subscript 1 straight a subscript 2 end fraction equals straight d
straight a subscript 1 straight a subscript 2 equals fraction numerator straight a subscript 1 minus straight a subscript 2 over denominator straight d end fraction
so comma
straight a subscript 1 straight a subscript 2 plus straight a subscript 2 straight a subscript 3 plus straight a subscript 3 straight a subscript 4...... plus straight a subscript straight n minus 1 end subscript straight a subscript straight n
equals fraction numerator begin display style straight a subscript 1 minus straight a subscript 2 end style over denominator begin display style straight d end style end fraction plus fraction numerator begin display style straight a subscript 2 minus straight a subscript 3 end style over denominator begin display style straight d end style end fraction plus..... plus fraction numerator begin display style straight a subscript straight n minus 1 end subscript minus straight a subscript straight n end style over denominator begin display style straight d end style end fraction
straight a subscript 1 straight a subscript 2 plus straight a subscript 2 straight a subscript 3 plus straight a subscript 3 straight a subscript 4...... plus straight a subscript straight n minus 1 end subscript straight a subscript straight n equals fraction numerator begin display style straight a subscript 1 minus straight a subscript straight n end style over denominator begin display style straight d end style end fraction....... left parenthesis 1 right parenthesis
now space fraction numerator begin display style 1 end style over denominator begin display style straight a subscript straight n end style end fraction minus fraction numerator begin display style 1 end style over denominator begin display style straight a subscript 1 end style end fraction equals left parenthesis straight n minus 1 right parenthesis straight d
rightwards double arrow fraction numerator begin display style straight a subscript 1 minus straight a subscript straight n end style over denominator begin display style straight a subscript 1 straight a subscript straight n end style end fraction equals left parenthesis straight n minus 1 right parenthesis straight d....... sub space in space left parenthesis 1 right parenthesis
ans space is space left parenthesis straight n minus 1 right parenthesis straight a subscript 1 straight a subscript straight n end style
Answered by Expert 5th December 2017, 3:50 PM
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