Question

Find an explicit rule for the nth term of the
sequence: (3, 16, 29...}. Then find a24

Answer 1

a(n)=a(1)+(n-1)*d

Common difference (d)= 13

First term (a(1))= 3


a(n)=3 + (n-1) * 13


a(24)=3 + 23*13

a(24)= 302


SO
Explicit rules: a(n)=3 + (n-1) * 13
a(24)= 302