Find the 19th and 20th terms of the sequence defined by `T_ n = {:{(n^2, when n is even),(n^2+1, when n is odd):}`

Find the 18th and 25th terms of the sequence defined by : t_n= {(n(n+2),if n is even natural number),((4n)/(n^2+1), if n is odd natural number):} .

Find the 21st and 42nd terms of the sequence defined by : t_n= {(0,if n is odd),(1, if n is even):} .

What is the 20th term of the sequence defined by : a_n = (n- 1) (2-n)(3+n) ?

Show that the the sequence defined by T_(n) = 3n^(2) +2 is not an AP.

Find the 7^(th) term of the sequence whose n^(th) term is a_n = (-1)^n n^2

Find the 5^(th) term of the sequence whose n^(th) term is a_n = n/2^n

Find the 5^(th) term of the sequence whose n^(th) term is a_n = (n^2 + 5)/4

Find the 24^(th) term of the sequence whose n^(th) term is a_n = 4n -3

Show that the sequence t n defined by t n = 3 n + 1 is an AP.

Find the 10^(th) term of the sequence whose n^(th) term is a_n = (n-5)/(n + 7)