Write an expression that can be used to find the nth term of Livy’s sequence. 4,7,10

Answer 1

4,7, 10 appears to be an arithmetic sequence with common difference = 3

a1 = 4

a2 =4+3

a3 = 4+2(3)

an =a1 + (n-1)d

= 4+3(n-1)

= 4+3n-3

=1+3n

a1 = 1+3(1)

a2= 1+3(2)

a3 = 1+3(3)

an= 1+3n