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