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.

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

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 .

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

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

A sequence of no. a_1,a_2,a_3 ..... satisfies the relation a_n=a_(n-1)+a_(n-2) for nge2 . Find a_4 if a_1=a_2=1 .

Let the sequence a_n be defined as follows: a_1 = 1, a_n = a_(n - 1) + 2 for n ge 2 . Find first five terms and write corresponding series

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

Find the next five terms of each of the following sequences given by : a_1=a_2=2,a_n=a_(n-1)-3,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

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