The third term of an A.P. is 7, and the seventh term exceeds 3 times the third term by 2. Find the first term, the common difference and the sum of the first 20 terms.

given third term of AP is 7

So, a + 2d = 7…(i)


It is also given that the seventh term exceeds 3 times the third term by 2


To find: first term, the common difference and the sum of the first 20 terms


a + 6d - 3(a + 2d) = 2


- 2a = 2


a = - 1


d = 4


we know that the sum of AP is given by the formula:



substituting the values in above equation



s = 740


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