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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).
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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)
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