Question

What is the recursive rule for the sequence?

Answer 1

Answer : option d

4.4, 5.8, 7.2, 8.6, 10, …

First we find the common difference between two terms

5.8 - 4.4 = 1.4

7.2 - 5.8 = 1.4

8.6 - 7.2 = 1.4

10 - 8.6 = 1.4

So common difference is 1.4

To find recursive rule, we add the difference with previous term

Recursive rule is $a_n = a_{n-1} + d$

a1 is the first term so a1= 4.4

d is the difference = 1.4

So recursive rule is

$a_n = a_{n-1} + 1.4$, where a1 = 4.4