Question

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

Answer 1

Answer:

$8.5,7.15,5.8,4.45,3.1,...$

Step-by-step 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 :

$8.5,7.15,5.8,4.45,3.1,...$