Question

Given a sequence is defined by the explicit definition LaTeX: t_n=\:n^2+nt n = n 2 + n, find the 4th term of the sequence. (ie LaTeX: t_4t 4)

Answer 1

*100% CORRECT ANSWERS

Answer 2

3,5,9,17,33

Explanation:

The explicit definition is;

`t_n= {2}^(n) + 1`

When n=1, we get:

`t_1= {2}^(1) + 1 = 2 + 1 = 3`

When n=2, we obtain:

`t_2= {2}^(2) + 1 = 4 + 1 = 5`

When n=3, we get:

`t_3= {2}^(3) + 1 = 8+ 1 = 9`

When n=4, we get:

`t_4= {2}^(4) + 1 = 16 + 1 = 17`

When n=5, we obtain:

`t_5= {2}^(5) + 1 = 32 + 1 = 33`

The sequence generated is 3,5,9,17,33,...

The third choice is correct.