Answer:
[tex]8.5,7.15,5.8,4.45,3.1,...[/tex]
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
[tex]8.5-7.15=1.35[/tex]
And again the difference between the second and the third term is :
[tex]7.15-5.8=1.35[/tex]
One way to describe all the numbers in the sequence is by using a formula.
We can write :
Given the sequence [tex]a_{0},a_{1},a_{2},a_{3},...[/tex]
[tex]a_{n}=8.5-(1.35)n[/tex] with [tex]n[/tex] ∈ I[tex]N_{0}[/tex]
For example :
[tex]a_{2}=8.5-(1.35).2=5.8[/tex] which verifies our original sequence.
We can obtain any term we want of the sequence.
Some of the terms that complete the sequence are :
[tex]8.5,7.15,5.8,4.45,3.1,...[/tex]
