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CBSE Class 10 Answered

how many terms of the AP  9,17,25...... must be taken to give a sum of 636
Asked by rajani.vinod | 06 Jul, 2019, 10:07: PM
answered-by-expert Expert Answer
straight a space equals space 9
straight d space equals space 8
straight S subscript straight n equals straight n over 2 open parentheses 2 straight a plus open parentheses straight n minus 1 close parentheses straight d close parentheses
636 equals straight n over 2 open parentheses 2 cross times 9 plus open parentheses straight n minus 1 close parentheses 8 close parentheses
636 equals 9 straight n plus open parentheses straight n minus 1 close parentheses 4 straight n
636 equals 9 straight n plus 4 straight n squared minus 4 straight n
4 straight n squared plus 5 straight n minus 636 equals 0
straight n equals 12 space or space straight n space equals space fraction numerator negative 53 over denominator 4 end fraction
straight n space can apostrophe straight t space be space negative comma space since space it space is space number space of space terms.
so space we space have space to space take space 12 space terms space of space given space AP
Answered by Arun | 07 Jul, 2019, 11:33: AM
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