Question

Complete the sequence of numbers in the set. Explain the pattern.The completed sequence of numbers is​ 8.5, 7.15,​ 5.8,

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Answer 1

`8.5,7.15,5.8,4.45,3.1,...`

Explanation:

The first step to solve this question is to analyze the given sequence.

We can notice that the difference between 8.5 and 7.15 is

`8.5-7.15=1.35`

And again the difference between the second and the third term is :

`7.15-5.8=1.35`

One way to describe all the numbers in the sequence is by using a formula.

We can write :

Given the sequence
`a_(0),a_(1),a_(2),a_(3),...`

`a_(n)=8.5-(1.35)n` with
`n` ∈ I
`N_(0)`

For example :

`a_(2)=8.5-(1.35).2=5.8` which verifies our original sequence.

We can obtain any term we want of the sequence.

Some of the terms that complete the sequence are :

`8.5,7.15,5.8,4.45,3.1,...`