If `a_0 = 1`, `a_n = 2a_(n-1)` if n is odd, `a_n = a_(n-1)` if n is even, then value of `a_19/a_9` is

If a_n = 2^(2^n) + 1 , then for n>1 last digit of an is

If a_n=n/((n+1)!) then find sum_(n=1)^50 a_n

If a_1=1\ a n d\ a_(n+1)=(4+3a_n)/(3+2a_n),\ ngeq1\ a n d\ if\ (lim)_(n->oo)a_n=n then the value of a_n is sqrt(2) b. -sqrt(2) c. 2\ d. none of these

If the sequence {a_n}, satisfies the recurrence, a_(n+1) = 3a_n - 2a_(n-1), n ge2, a_0 = 2, a_1 = 3, then a_2007 is

Let a_0x^n + a_1 x^(n-1) + ... + a_(n-1) x + a_n = 0 be the nth degree equation with a_0, a_1, ... a_n integers. If p/q is arational root of this equation, then p is a divisor of an and q is a divisor of a_n . If a_0 = 1 , then every rationalroot of this equation must be an integer.

Find the first five terms of the following sequence . a_1 = 1 , a_2 = 1 , a_n = (a_(n-1))/(a_(n-2) + 3) , n ge 3 , n in N