Question

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

A. 4


B. 8


C. 20


D. 1806

Answer 1

*100% CORRECT ANSWERS

Answer 2

Question 1: 20

Question 2: 27

Explanation:

Question 1:

Given a sequence is defined by the explicit definition
`t_(n) = n^(2) + n`

Therefore, the 4th term i.e.
`t_(4) = 4^(2) + 4 = 20` (Answer)

So, the third option is correct.

Question 2:

Given a sequence is defined by the explicit definition
`t_(n) = 2^(n) - n`

Therefore, the 5th term i.e.
`t_(5) = 2^(5) - 5 = 27` (Answer)

So, the third option is correct.