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

Given a sequence is defined by the explicit definition LaTeX tnn2nt n n 2 n find the 4th term of the sequence ie LaTeX t4t 4 Group of answer choices class=

Respuesta :

Answer:

[tex]t_{4}=20[/tex]

Step-by-step explanation:

Given:

The [tex]n^{th}[/tex] term of the sequence is given as:

[tex]t_{n}=n^{2}+n[/tex]

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

[tex]t_{4}=4^{2}+4\\t_{4}=16+4=20[/tex]

Therefore, the fourth term of the sequence is [tex]t_{4}=20[/tex].

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