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(n(n+1))/(2)...

(n(n+1))/(2)

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1+n. (2n)/(1+n)+(n(n+1))/(1.2) ((2n)/(1+n))^2+…..

1+n. (2n)/(1+n)+(n(n+1))/(1.2) ((2n)/(1+n))^2+…..

Prove by mathematical induction, n.1+(n-1).2+(n-2).3+…+2.(n-1)+1.n = (n(n+1)(n+2))/6 where n in N .

1.2.3+2.3.4++n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/(4)

1.2.3+2.3.4+....+n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4

The value of (2^(n) + 2^(n -1))/(2^(n+1) -2^(n)) is equal to

(2^(n)+2^(n-1))/(2^(n+1)-2^(n))

(n-(1)/(n))(n+(1)/(n))(n^(2)+(1)/(n^(2)))

The value of lim_(ntooo) [(2n)/(2n^(2)-1)"cos"(n+1)/(2n-1)-(n)/(1-2n).(n)/(n^(2)+1)] is

The value of lim_(ntooo) [(2n)/(2n^(2)-1)"cos"(n+1)/(2n+1)-(n)/(1-2n).(n)/(n^(2)+1)] is