Let `A_1=1998^(1998)` and for `n > 1.` let `A_n` denote the sum of `A_(n-1).` Find `A_8.`

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

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

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

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

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

A_1 A_2 A_3............A_n is a polygon whose all sides are not equal, and angles too are not all equal. theta_1 is theangle between bar(A_i A_j +1) and bar(A_(i+1) A_(i +2)),1 leq i leq n-2.theta_(n-1) is the angle between bar(A_(n-1) A_n) and bar(A_n A_1), while theta_n, is the angle between bar(A_n A_1) and bar(A_1 A_2) then cos(sum_(i=1)^n theta_i) is equal to-

Let a_n be the n^(th) term of an arithmetic progression. Let S_(n) be the sum of the first n terms of the arithmetic progression with a_1=1 and a_3=3_(a_8) . Find the largest possible value of S_n .

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 {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.)