Answer:
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
[tex]t_{1} =3 \\ t_{n} =4n-1[/tex]
when n=4
t4=4*4-1
t4=15
2.[tex]a_{n} =n^{2} -5[/tex]
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
