For

given a sequence is defined by a first term of latex: t_1=3t 1 = 3, and explicit definition latex: t_n=\: 4n-1t n = 4 n − 1, find the 4th term of the sequence (i. e. latex: t_4t 4).

group of answer choices

3

11

15

171

1 C

2C

Step-by-step explanation:

Given a sequence is defined by a first term of LaTeX: t_1=3t 1 = 3, and explicit definition LaTeX: t_n=\:4n-1t n = 4 n − 1, find the 4th term of the sequence (i.e. LaTeX: t_4t 4).

Group of answer choices

this is is known as a linear sequence or arithmetic progression. Each term differs by certain value known as common difference

a deep dive into the solution

when n=4

t4=4*4-1

t4=15

2.

when n=1

a1=1^2-5

a1=-4

when n=2

a2=2^2-5

a2=-1

when n=3

3^2-5

a3=4

when n=4

a4=4^2-5

11

when n=5

a5=5^2-5

a5=20