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

Answer:

B) 5n – 2

Step-by-step 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.