Question

What is the common difference between successive terms in the sequence? 9, 2. 5, â€"4, â€"10. 5, â€"17,. â€"11. 5 â€"6. 5 6. 5 11. 5.

Answer 1

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,

$9, 2.5, -4, -10.5, -17$

In an arithmetic sequance, a common difference is a difference between two or more consecutive terms. Formula to find the common difference is,

$d=a_{n} -a_{n-1}$

In the given problem common difference is,

$d = a_{2} - a_{1}=2.5-9=-6.5$

$d = a_{3} - a_{2}=-4-2.5=-6.5$

$d = a_{4} - a_{3}=-10.5-(-4)=-10.5+4=-6.5$

$d = a_{5} - a_{4}=-17-(-10.5)=-17+10.5=-6.5$

Hence the common difference between successive terms in the given sequance is -6.5.

For more about the sequence, follow the link below-

brainly.com/question/21961097