" (ii) "t_(1)=3,t_(n)=3t_(n-1)+2" for all "n>1

Write the next three terms of the following sequences: t_(1)=3,t_(n)=3t_(n-1)+2f or alln>1

Write the next three terms of the following sequences: t_1=3,t_n=3t_(n-1)+2 for all ngt1

The 5th terms of the sequence defined by t_(1)=2,t_(2)=3 and t_(n)=t_(n-1)+t_(n-2) for nge3

Write the next three terms of the following sequences: t_(1)=2,t_(n)=t_(n-1)-1,n>2

Prove that t^(2) + 3t + 3 is a factor of ( t+1)^(n+1) + (t+2)^(2n -1) for all intergral values of n in N.

Prove that t^(2) + 3t + 3 is a factor of ( t+1)^(n+1) + (t+2)^(2n -1) for all intergral values of n in N.

The Fibonacci sequence is defence by t_(1)=t_(2)=1,t_(n)=t_(n-1)+t_(n-2)(n>2). If t_(n+1)=kt_(n) then find the values of k for n=1,2,3 and 4.

Write the next three terms of the following sequences: t_(2)=2,t_(n)=t_(n-1)+1,(n>=3)

Write the first two terms of the sequence (i) t_(n) = 3n-6 (ii) t_(n) = (1)/( n^(2)) - 1

Write the next three terms of the following sequences: t_(1)=1,t_(n)=(t_(n-1))/(n),(n>=2)