Home
Class 11
MATHS
A sequence of numbers Ann=1,2,3 is defin...

A sequence of numbers `A_nn=1,2,3` is defined as follows : `A_1=1/2` and for each `ngeq2,` `A_n=((2n-3)/(2n))A_(n-1)` , then prove that `sum_(k=1)^n A_k<1,ngeq1`

Promotional Banner

Similar Questions

Explore conceptually related problems

A sequence of numbers A_n, n=1,2,3 is defined as follows : A_1=1/2 and for each ngeq2, A_n=((2n-3)/(2n))A_(n-1) , then prove that sum_(k=1)^n A_k<1,ngeq1

A sequence of numbers A_n, n=1,2,3 is defined as follows : A_1=1/2 and for each ngeq2, A_n=((2n-3)/(2n))A_(n-1) , then prove that sum_(k=1)^n A_k<1,ngeq1

A sequence of numbers A_(n)n=1,2,3... is defined as follows: A_(1)=(1)/(2) and for each n>=2,A_(n)=((2n-3)/(2n))A_(n-1), then prove that sum_(k=1)^(n)A_(k) =1

If a_k=1/(k(k+1)) for k=1 ,2……..,n then prove that (sum_(k=1)^n a_k)^2 =n^2/(n+1)^2

Let sequence by defined by a_1=3,a_n=3a_(n-1)+1 for all n >1

Let the sequence a_n be defined as follows : a_1=1,a_n=a_(n-1)+2 for ngeq2 . Find first five terms and write corresponding series.

Let the sequence a_n be defined as follows : a_1=1,""""a_n=a_(n-1)+2 for ngeq2 . Find first five terms and write corresponding series.

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

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