Question

Which is the iterative rule for the sequence 3, 8, 13, 18, 23, . . . . ?

A. 3n + 2
B. 5n - 2
C. 5n + 3
D. An = an - 1 + 5

Answer 1

B) 5n – 2

Explanation:

Given: 3, 8, 13, 18, 23, ....

`a_(1)=3=5(1)-2\\a_(2)=8=5(2)-2\\a_(3)=13=5(3)-2\\a_(4)=18=5(4)-2\\a_(5)=23=5(5)-2`

For the nth term,
`a_(n)=5n-2`

Hence the iterative rule for the sequence 3, 8, 13, 18, 23, ... is 5n – 2.