Find n if 1 + 2 + 3 + ……+n = 210

Find n if "^(n-1)P_3 : "^nP_4 =1:9 .

Find the value of the following expressions when n = – 2. n^3 + 5n^2 + 5n – 2

In an AP :- given a = 8, a_n = 62. S_n =210, find n and d .

Find the value of n , if (2n - 1)/(n - 2) = 3

Find n if : "^(2n)P_3=100 ^nP_2 .

Find n, if (n+2) ! =60xx(n-1)!

Find the value of n , if ((2n)! (n - 3)!)/((2n - 3)! n!) = 11

If a_(1)=1 and a_(n+1)=(4+3a_(n))/(3+2a_(n)),nge1 , show that a_(n+2)gea_(n+1) and if a lim l as n to oo the evaluate lim_(ntooo)a_(n)

The Fibonacci sequence is defined by 1 = a_1= a_2 and a_n=a_(n-1)+a_(n-2) , n>2 . Find (a_(n+1))/a_n , for n = 1, 2, 3, 4, 5