Answer:
Below in bold.
Step-by-step explanation:
4/2 = 2
8/4 = 2
Each term is obtained by multiplying the previous one by 2.
This is a geometric sequence with common ratio r = 2
the nth term
= a1r^(n-1) where a1 = the first term
= 2(2)^(n-1).
[tex] a_{n} = 2_{n}[/tex]
Step-by-step explanation:
[tex]a_{1} = 2[/tex]
[tex]d = a_{2} - a_{1}[/tex]
[tex] = 4 - 2 = > 2[/tex]
Getting the nth term
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
[tex] a_{n} = 2 + (n - 1)2[/tex]
[tex] a_{n} = 2 + (2n - 2)[/tex]
[tex]a_{n} = 2 + 2n - 2[/tex]
[tex] a_{n} = 2n[/tex]
