Consider the sequence defined by `a_n=a n^2+b n+c dot` If `a_1=1,a_2=5,a n da_3=11 ,` then find the value of `a_(10)dot`

If a_(n+1)=1/(1-a_n) for n>=1 and a_3=a_1 . then find the value of (a_2001)^2001 .

Let {a_n}(ngeq1) be a sequence such that a_1=1,a n d3a_(n+1)-3a_n=1 for all ngeq1. Then find the value of a_(2002.)

Let lta_ngt be the sequence defined by a_1=3 and a_n =3a_(n-1)+2 for all n gt1 ..Find a_3 .

Find the sequence of the numbers defined by a_n={1/n , when n is odd -1/n , when n is even

In a triangle A B C ,/_A=60^0a n db : c=(sqrt(3)+1):2, then find the value of (/_B-/_C)dot

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=5.

Write the first three terms of the sequence defined by a_1= 2,a_(n+1)=(2a_n+3)/(a_n+2) .

Consider a sequence {a_n }with a_1=2 and a_n=(a_(n-1)^ 2)/(a_(n-2)) for all ngeq3, terms of the sequence being distinct. Given that a_1 and a_5 are positive integers and a_5lt=162 then the possible value(s) of a_5 can be (a) 162 (b) 64 (c) 32 (d) 2

What is the 20^("th") term of the sequence defined by a_n=(n-1) (2-n) (3+n) ?

Determine the number of terms in a G.P., if a_1=3,a_n=96 ,a n dS_n=189.