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)
Group of answer choices

Answer 1

*100% CORRECT ANSWERS

Answer 2

Answer:

$t_{4}=20$

Step-by-step explanation:

Given:

The $n^{th}$ term of the sequence is given as:

$t_{n}=n^{2}+n$

In order to find the fourth term of this sequence, we need to plug in 4 for $n$ in the above expression and solve. This gives,

$t_{4}=4^{2}+4\\t_{4}=16+4=20$

Therefore, the fourth term of the sequence is $t_{4}=20$.