`sum_(n=3)^oo1/(n^5-5n^3+4n)` (A) `1/120` (B) `1/96` (C) `1/24` (D) `1/144`

The value of sum_(n=3)^(oo)(1)/(n^(5) - 5n^(3) +4 n) is equal to - (a) (1)/(120) (b) (1 )/(96) (c) (1)/(24) (d) (1)/(144)

sum_ (n = 1) ^ (oo) (5 ^ (n) -2 ^ (n)) / (10 ^ (n))

sum_(0)^(oo)(1)/((3n+1)(3n+2))

Let (:a_(n):) be a sequence given by a_(n+1)=3a_(n)-2*a_(n-1) and a_(0)=2,a_(1)=3 then the value of sum_(n=1)^(oo)(1)/(a_(n)-1) equals (A) 1 (B) (1)/(2) (C) 2 D) 4

sum_(n=1)^(oo)((4n+5).5^(-n))/(n(5n+5))=

sum_(n=1)^(oo)((1)/(4n-3)-(1)/(4n-1))=(pi)/(n) find n

sum_(n=1)^(oo)((1)/(4n-3)-(1)/(4n-1))=(pi)/(n) find n

The sum of the series 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+…..+1/((n-1)!1!) is = (A) 1/(n!2^n) (B) 2^n/n! (C) 2^(n-1)/n! (D) 1/(n!2^(n-1)

The sum of the series 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+…..+1/((n-1)!1!) is = (A) 1/(n!2^n) (B) 2^n/n! (C) 2^(n-1)/n! (D) 1/(n!2^(n-1)

The value of sum_(n=3)^(oo)(1)/(n^(5) - 5n^(3) +4 n) is equal to -