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

find first 5 terms of the sequences, defined by a_(1) =-1 , a_(n) = ( a_(n-1))/n " for n ge 2

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is:

Let a_1,a_2,a_3,.... are in GP. If a_n>a_m when n>m and a_1+a_n=66 while a_2*a_(n-1)=128 and sum_(i=1)^n a_i=126 , find the value of n .

If a_i > 0 for i=1,2,…., n and a_1 a_2 … a_(n=1) , then minimum value of (1+a_1) (1+a_2) ….. (1+a_n) is :

lf and be two sequences, given by a_n=x^(2^-n)+y^(2^-n),b_n=x^(2^-n)-y^(2^-n) then the value of a_1.a_2.a_3...a_n is

Consider a sequence {a_n} with a_1=2 & a_n =(a_(n-1)^2)/(a_(n-2)) for all n ge 3 terms of the sequence being distinct .Given that a_2 " and " a_5 are positive integers and a_5 le 162 , then the possible values (s) of a_5 can be

If a_1,a_2,a_3,....a_n and b_1,b_2,b_3,....b_n are two arithematic progression with common difference of 2nd is two more than that of first and b_(100)=a_(70),a_(100)=-399,a_(40)=-159 then the value of b_1 is

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)),f or n=5