Step-by-step explanation:
Step 1: Determine an explicit formula
[tex]a(n)=5+2(n-2)[/tex]
List the first 4 terms
[tex]a(1) = 5 + 2(1 - 2) = 5 - 2 = 3[/tex]
[tex]a(2) = 5 + 2(2 - 2) = 5 + 0 = 5[/tex]
[tex]a(3) = 5 + 2(3 - 2) = 5 + 2 = 7[/tex]
[tex]a(4) = 5 + 2(4 - 2) = 5 + 4 = 7[/tex]
Solve for the 10th term
[tex]a(10) = 5 + 2(10 - 2) = 5 + 16 = 21[/tex]
Hope this helps!
