Question

PLEASE help me!!! I need help with this problem below.... what is the rule for the sequence 1.8, 2.85, 3.90, 4.95, 6 Please answer this with a clear step by step explanation before tomorrow And help me out! Thanks!

Answer 1

The next term is equal to the previous term with an added 1.05.

Explanation:

The given sequence is:

1.8, 2.85, 3.90, 4.95, 6

The first term is:

`a = 1.8`

The second term is:

`a_2 = 2.85`

The third term is:

`a_3 = 3.90`

The fourth term is:

`a_4 = 4.95`

The fifth term is:

`a_5 = 6`

Let us have a look at the difference of each term:

Second term - First term = 1.05

Third term - Second term = 1.05

Fourth term - Third term = 1.05

Fifth term - Fourth term = 1.05

We can see that there is a common difference between each term of the given sequence.

Therefore, we can conclude that:

The given sequence is an Arithmetic Progression which has the difference of each term as equal.

First term,
`a = 1.8`

Common difference,
`d =1.05`

So, the rule is:

The next term is equal to the previous term with an added 1.05.