Question

if a,b,c are in A.P,then the value of a-b/b-c =​

Answer 1

Answer:

Step-by-step explanation:

Given:

If a b, c are in AP

To Find:

a-b/b-c is equal to

Solution:

An arithmetic progression is a progression in which every consecutive term differs by a common difference which is denoted by d and the first term of an AP is denoted by a.

And if a, b, c are in AP then

(a-b) will be equal to negative of common difference as we have defined that common difference of an AP is equal to the difference of the 2nd term with 1st term.

So,

(a-b)=-d

and,

(b-c)=-d

As both, the values are equal then,

So the value becomes 1.

Hence, the value of  a-b/b-c is equal to 1.

Answer 2

Answer: 1

Step-by-step explanation:

Since a,b,c are in A.P.

∴b−a=c−b                         (∵common difference is same for A.P.)

⇒a−b=b−c            

⇒

b−c

a−b

​

=1

To learn more about Arithmetic Progression given below:

https://brainly.in/question/11357684

To learn more about Arithmetic Progression Forms given below:

https://brainly.in/question/18124589

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