The maximum value of the sum of the...
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The maximum value of the sum of the A.P. 50, 48, 46, 44, .................... is - (A) 325 (B) 648 (C) 650 (D) 652

11th - 12th Class
Maths
Solution
103
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2.3 (3 ratings)
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AP ginen in ( =50,48,46,44, ldots ) So, commonidyterence ( (d) dot{Delta}=-2 ) Art teum ( f a)=50 ) The sum will be maximum if last tenm is OC last non negative integect So, last trim ( left(a_{n}right)=0 ) ( S_{0}, quad a_{n}=a+(n-1) d ) [ begin{array}{l} 0=50+(n-1)(-2) 0=50+(-2 n)+2 -50+2=(-2 n) -52=-2 n -52=n=26 -2 end{array} ] of terms ( (n)=26 ) 1. [ =frac{26}{2}left[begin{array}{c} 50+0]=13 times 50 =650 text { Ang } end{array}right. ]
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