1.

The 4th term of an A.P is equal to the 3 times ofthe first term and 7th term exceeds twice the 3rd term by 1. Find first term and common difference

Answer» Let the A.P be `a,a+d,a+2d.......` where `a` is the first term and d is the common difference.
Given`a_4=3a_1`=>`a+3d=3a`=>`3d=2a`....(1)
also `a_7=2a_3+1`=>`2d=a+1`...(2)
solving (1) and(2) we get `d=2` and `a=3`


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