Let S be the infinite sum given by `S sum_(n->0)^oo (a_n)/(10^(2n))` where `(a_n)_(n >= 0)` is a sequence defined by `a_0=a_1=1 and a_j=20a_(j-1)-108a_(j-2)` for S is expressed in the form `a/b,` where a, b are coprime positive integers, then a equals

Let S be the infinite sum given by S sum_(n rarr0)^(oo)(a_(n))/(10^(2n)) where (a_(n))_(n>=0) is a sequence defined by a_(0)=a_(1)=1 and a_(j)=20a_(j-1)-108a_(j-2) for s is expressed in the form (a)/(b), where a,b are coprime positive integers,then a equals

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

Evaluate S=sum_(n=0)^n(2^n)/((a^(2^n)+1) (where a>1) .

Evaluate S=sum_(n=0)^n(2^n)/((a^(2^n)+1) (where a>1) .

Evaluate S=sum_(n=0)^n(2^n)/((a^(2^n)+1) (where a>1) .

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 > 2. Find (a_(n+1))/(a_n),for n=5.

Evaluate S=sum_(n=0)^(n)(2^(n))/((a^(2^(n))+1))( where a>1)

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

Find the sum sum_(j=0)^n( ^(4n+1)C_j+^(4n+1)C_(2n-j)) .