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CBSE Class 9 Answered

how many terms are to be added to (-8) +(-6) +(-4)... to make a sum of 52
Asked by bhaskarr6868 | 16 Jul, 2020, 06:25: AM
answered-by-expert Expert Answer
Let the number of terms to be added be n
(-8) + (-6) + (-4) + ... 
Sn = n/2[2a + (n-1)d]
rightwards double arrow 52 equals straight n over 2 open square brackets 2 cross times open parentheses negative 8 close parentheses plus open parentheses straight n minus 1 close parentheses 2 close square brackets space space... space open parentheses Since space minus 6 minus left parenthesis negative 8 right parenthesis equals 2 close parentheses
rightwards double arrow 104 equals straight n open square brackets negative 16 plus 2 straight n minus 2 close square brackets
rightwards double arrow 104 equals straight n left parenthesis 2 straight n minus 18 right parenthesis
rightwards double arrow 2 straight n squared minus 18 straight n minus 104 equals 0
rightwards double arrow straight n squared minus 9 straight n minus 52 equals 0
rightwards double arrow straight n squared minus 13 straight n plus 4 straight n minus 52 equals 0
rightwards double arrow left parenthesis straight n minus 13 right parenthesis left parenthesis straight n plus 4 right parenthesis equals 0
rightwards double arrow straight n equals 13 space since space straight n space can apostrophe straight t space be space negative
Answered by Renu Varma | 16 Jul, 2020, 11:32: AM
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