Question

What is the recursive rule for the sequence?

4.4, 5.8, 7.2, 8.6, 10, …




an=an−1−1.4 , where ​ a1=4.4 ​ ​ ​

an=an+1+1.4 , where ​ a1=4.4 ​ ​ ​

an=an+1−1.4 , where ​ a1=4.4 ​ ​ ​

an=an−1+1.4 , where a1=4.4

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