Question

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(i) If a, b, c, d are in the A.P., then prove that (d – b) is equal to (c-a).​

Answer 1

Step-by-step explanation:

Let k be the common difference.

so b=a+k

c=a+2k and

d=a+3k

now d-b=(a+3k)-(a+k)

=a+3k-a-k=2k

c-a=a+2k-a=2k

Thus,d-b=c-a.(proved)