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Question

If p,q,r,s,t and u are consecutive terms of AP, then difference (s-q) is equal to

A

2(rq)
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B

2(pq)
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C

2(r+q)
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D


(rq)
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Solution

The correct option is A
2(rq)
Given that p,q,r,s,t and u are in AP.

Therefore, rq=sr=ts

By taking the first two terms,
rq=sr
By subtracting q on both sides
rqq=srqr2q=srq
Thus 2(rq)=sq
Hence, option a is correct.

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