Evaluate the following: `sum_(n=2)^10(2n+3)`

Evaluate the following: sum_(n=2)^(10)4^(n)

Evaluate the following: sum_(n=1)^(11)(2+3^(n))

Evaluate : (i) sum_(n=1)^(10)(2+3^(n))" " (ii) sum_(k=1)^(n)[2^(k)+3^((k-1))]" " (iii) sum_(n=1)^(8) 5^(n)

Evaluate sum_(n=1)^n {sum_(n=1)^n (2^n+3n)} .

Evaluate : sum_(n=1)^(15) (2n+1)2^n .

Evaluate lim_ (n rarr oo) sum_ (r = 2) ^ (n) (n) / ((n + r) ^ (2)) (A) (3) / (4) (B) (2) / ( 3) (C) (2) / (9) (D) (1) / (2)

Find the following sum: (1)/(n!)+(1)/(2!(n-2)!)+(1)/(4!(n-4)!)+...

Find the sum of the following. (1-(1)/(n))+(1-(2)/(n))+(1-(3)/(n))+... up to n terms.

Evaluate :lim_(n rarr oo)sum_(r=1)^(n)(1)/((n^(2)+r^(2))^(1/2))

Let a_n is a positive term of a GP and sum_(n=1)^100 a_(2n + 1)= 200, sum_(n=1)^100 a_(2n) = 200 , find sum_(n=1)^200 a_(2n) = ?