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Question

 The 4th term of an AP is 11. the sum of the 5th and 7th terms of this AP is 34. Find its common difference.
 


Solution

Here, a4=11a+3d=11...(1)

Also, a5+a7=34a+4d+a+6d=34a+5d=17...(2)

Subtracting (1) from (2), 2d=1711=6d=3

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