Answer:
7) nth term a₁₈ is 160
8) nth term a₃₆ is 128
Step-by-step explanation:
7) Find nth term of each arithmetic sequence
[tex]a_1=7, d=9, n=18[/tex]
The formula used to find nth term is: [tex]a_n=a_1+(n-1)d[/tex]
Putting values and finding nth term n=18
[tex]a_n=a_1+(n-1)d\\a_{18}=7+(18-1)9\\a_{18}=7+(17)9\\a_{18}=7+153\\a_{18}=160[/tex]
So, nth term n₁₈ is 160
8) Find nth term of each arithmetic sequence
[tex]a_1=-12, d=4, n=36[/tex]
The formula used to find nth term is: [tex]a_n=a_1+(n-1)d[/tex]
Putting values and finding nth term n=36
[tex]a_n=a_1+(n-1)d\\a_{36}=-12+(36-1)4\\a_{36}=-12+(35)4\\a_{36}=-12+140\\a_{36}=128[/tex]
So, nth term n₃₆ is 128
