lf `< a_n >` and `< b_n >` 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

{a_n} and {b_n} are two sequences given by a_n=(x)^(1//2^n) +(y)^(1//2^n) and b_(n)=(x)^(1//2^n)-(y)^(1//2^n) for all n in N. The value of a_1 a_2 a_3……..a_n is equal to

Find the next five terms of each of the following sequences given by: (1) a_1=1,a_n=a_(n-1)+2,ngeq2 (2) a_1=a_2=2,a_n=a_(n-1)-3,n >2 (3) a_1=-1,a_n=(a_(n-1))/n ,ngeq2 (4) a_1=4,a_n=4a_(n-1)+3,n >1

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+.......a_(n-1)+2a_n is

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

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:

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.