Sequence- A Sequence is the list of objects in numbers that are in order or in a proper arrangement. The common difference between successive terms in the given sequance is -6.5.
Given-
The sequence given in the problem is,
[tex]9, 2.5, -4, -10.5, -17[/tex]
In an arithmetic sequance, a common difference is a difference between two or more consecutive terms. Formula to find the common difference is,
[tex]d=a_{n} -a_{n-1}[/tex]
In the given problem common difference is,
[tex]d = a_{2} - a_{1}=2.5-9=-6.5[/tex]
[tex]d = a_{3} - a_{2}=-4-2.5=-6.5[/tex]
[tex]d = a_{4} - a_{3}=-10.5-(-4)=-10.5+4=-6.5[/tex]
[tex]d = a_{5} - a_{4}=-17-(-10.5)=-17+10.5=-6.5[/tex]
Hence the common difference between successive terms in the given sequance is -6.5.
For more about the sequence, follow the link below-
https://brainly.com/question/21961097
