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CBSE Class 11-science Answered

If n arithematic means are inserted between 2 and 38, then the sum of the resulting series is obtained as 200, then the value of n is(with solution plz) :-.        a)6.        b)8.       c)9.        d)10
Asked by Jayavani28 | 01 Feb, 2018, 06:54: PM
answered-by-expert Expert Answer
begin mathsize 16px style now space the space terms space will space be space in space AP space after space inserting space straight n space terms space in space between total space terms space is space straight n plus 2 straight a equals 2 straight a subscript straight n plus 2 end subscript equals 38 straight a plus left parenthesis straight n plus 2 minus 1 right parenthesis straight d equals 38 2 plus left parenthesis straight n plus 1 right parenthesis straight d equals 38 straight n plus 1 equals 36 over straight d...... eq left parenthesis 1 right parenthesis sum equals 200 200 equals fraction numerator straight n plus 2 over denominator 2 end fraction left parenthesis 2 cross times 2 plus left parenthesis straight n plus 1 right parenthesis straight d right parenthesis 200 equals fraction numerator straight n plus 2 over denominator 2 end fraction left parenthesis 4 plus left parenthesis straight n plus 1 right parenthesis straight d right parenthesis..... eq left parenthesis 2 right parenthesis from space left parenthesis 1 right parenthesis 200 equals fraction numerator straight n plus 2 over denominator 2 end fraction open parentheses 4 plus 36 over straight d straight d close parentheses solve space get space straight n end style
Answered by Arun | 02 Feb, 2018, 06:27: PM

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