Question

What is the general rule for the sequence?
1.11, 2.54, 3.97, 5.40, ...

Answer 1

The pattern is adding 1.43 to the term before

1.11 + 1.43 = 2.54 + 1.43 = 3.97 + 1.43 = 5.40 . . .and so on.

Answer 2

General rule is:

`a_(n)=a_(n-1)+1.43,\ a_(1)=1.11`

Explanation:

We are given a sequence:

1.11, 2.54, 3.97, 5.40, ...

1.11+1.43=2.54

2.54+1.43=3.97

3.97+1.43=5.40

Hence, as we can see the next term is obtained by adding the previous term by 1.43

So, general rule is:

`a_(n)=a_(n-1)+1.43,\ a_(1)=1.11`