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In an arithmetic progression, the pth term is 1/q and the qth term is 1/p. Find the sum of the first ‘pq’ terms of the progression.


Options:
A .  
B .   pq + 1
C .  
D .  
E .   p*q
Answer: Option C
:
C

Solution: OPTION (c)


Using Assumption


Let p = 1 and q= 2


Then as stated 1st term is ½ and 2nd term is 1. So we have an AP with common difference ½.


So the AP is: ½, 1, 3/2, 2, 5/2….


Now sum of first pq terms : sum of first two terms = ½ + 1 = 3/2


Put p = 1 and q = 2 in the options:


Correct option is (c)



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