Answer:
18,5.5, –7, –19.5, –32
16, 32, 48, 64, 80.
Step-by-step explanation:
Arithmetic sequences are a series of numbers of which the difference between consecutive numbers is a constant.
We can clearly see that –5, 5, –5, 5, –5, … is not an arithmetic sequence.
96, 48, 24, 12, 6 This is also not an arithmetic sequence. This is a geometric sequence.
Let's take 18,5.5, –7, –19.5, –32
Difference between 1st number and 2nd number:
[tex]18-5.5=12.5[/tex]
Difference between 2nd number and 3rd number:
[tex]5.5-(-7)=12.5[/tex]
Difference between 3rd number and 4th number:
[tex]-7-(-19.5)=12.5[/tex]
Difference between 4th number and 5th number:
[tex]-19.5-(-32)=12.5[/tex]
So difference between all the consecutive numbers is a constant. So this is an arithmetic sequence.
–1, –3, –9, –27, –81 this is not an arithmetic sequence. It is a geometric series where every number is multiplied by a constant number.
Let's check this sequence of numbers 16, 32, 48, 64, 80.
Difference between 1st number and 2nd number:
[tex]32-16=16[/tex]
Difference between 2nd number and 3rd number:
[tex]48-16=16[/tex]
Difference between 3rd number and 4th number:
[tex]64-48=16[/tex]
It is clear that these numbers have a common difference. So this is an arithmetic sequence.
