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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
If p,q,r,s,t and u are consecutive terms of AP, then difference (s-q) is equal to
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Solution
The correct option is A
2(r−q)
Given that p,q,r,s,t and u are in AP.
Therefore, r−q=s−r=t−s
By taking the first two terms,
r−q=s−r
By subtracting q on both sides
r−q−q=s−r−qr−2q=s−r−q
Thus 2(r−q)=s−q
Hence, option a is correct.
2(r−q)
Given that p,q,r,s,t and u are in AP.
Therefore, r−q=s−r=t−s
By taking the first two terms,
r−q=s−r
By subtracting q on both sides
r−q−q=s−r−qr−2q=s−r−q
Thus 2(r−q)=s−q
Hence, option a is correct.
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