Determine whether each of the following sequences converges or diverges. If it converge find the limit `a_n= tan(n + 1/2)pi`

Write the first three terms in each of the following sequences defined by the following: (i) a_n =2n +5, (ii) a_n = (n-3)/4

Write the first three terms in each of the following sequences defined by the following: (i) a_n =2n +5, (ii) a_n = (n-3)/4

Find the 6^(th) term of the following sequence whose n^(th) term is a_n = 4n^2 + 7

Find the 4^(th) term in the following sequence whose n^(th) term is a_n = n^2 + 3

Find the 17^(th) term in the following sequence whose n^(th) term is a_n = 2n - 4

Determine whether (t_n) is an arithmetic sequence if: t_n=an^2+b

Find the next five terms of each of the following sequences given by : a_1=1,a_n=a_(n-1)+2,n>=2

Find the next five terms of each of the following sequences given by : a_1=4,a_n=4a_(n-1)+3,n>1

Write the first five terms of each of the following sequences whose n th terms are: a_n=3n+2 (ii) a_n=(n-2)/3 a_n=3^n (iv) a_n=(3n-2)/5 a_n=(-1)^n .2^n (vi) a_n=(n(n-2))/2 (vii) a_n=n^2-n+1 (viii) a_n=2n^2-3n+1 (ix) a_n=(2n-3)/6