The 7th term of an A.P is 15 and the fourth term is 9. Find the first term and common difference
Let the first term of the arithmetic progression be 'a' and the common difference be 'd'.
Given:
4th term = a + 3d = 9
7th term = a + 6d = 15
Now, we can create two equations using the given information:
1) a + 3d = 9
2) a + 6d = 15
Solving these two equations simultaneously, we get:
a = 3 and d = 2
Therefore, the first term of the arithmetic progression is 3 and the common difference is 2.