Questions
Let be a positive integer, then is equal to :
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a
14m(m+2)
b
14m(m+3)
c
14m(m+4)
d
14m(m+6)
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Correct option is B
S=1+12+13+…+1m+212+13+…+1m+313+14+…+1m+…+(m−1)1m−1+1m+m1m=(1)(1)+12(1+2)+13(1+2+3)+14(1+2+3+4)+…+1m(1+2+3+…+m)=∑k=1m 1k(1+2+…+k)=∑k=1m 1k⋅k(k+1)2=12∑k=1m (k+1)=m4[2+(m+1)]=14m(m+3)Similar Questions
Sum to n terms of the series is
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