Find the value of
`1/((n-5).(n-4))+1/((n-4)(n-3))+1/((n-3)(n-2))+..........`+
`1/((n+4)(n+5))`

Find the value of S_(n)=sum_(n=1)^(oo)(3^(n)*5^(n))/((5^(n)-3^(n))(5^(n-1)-3^(n+1))) and hence s_(oo)

Find the value of ( 1 - 1/3 ) ( 1 - 1/4 ) ( 1 - 1/5 ) ---------- ( 1 - 1/n ) is ( a ) 2/n ( b ) 4/n ( c ) 3/n ( d ) 5/n

Find sum the series (n)/(1.2*3)+(n-1)/(2.3*4)+(n-2)/(3.4*5)+......... up to n terms..-

Find the sum of n terms of the series 1+5((4n+1)/(4n-3))+9((4n+1)/(4n-3))^(2)+13((4n+1)/(4n-3))^(3)

sum_(n=1)^(n)(4+3r)=(1)/(2)(n-5)(3n+26)

The value of lim_(n rarr oo)(1/(1-n^4)+8/(1-n^4)+...+n^3/(1-n^4)) is