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Q.

For what value of p, 2p − 1, 7 and 3p are three consecutive terms of an AP?


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a

1

b

-1

c

-3

d

3 

answer is D.

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Detailed Solution

Let a-d, a, a+d be the three consecutive terms of AP
→a-d=2p-1→eq1
→a=7
→a+d=3p→eq2
Sum eq1 and eq2
2a=5p-1
27+1=5p
5p=15
p=3
 
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