The sum of the first three terms of an Arithmetic Progression (A.P) is 18. If the first term is 4, find their product.
Answer Details
Let the common difference of the A.P be d. Then, the first three terms of the A.P can be written as 4, 4 + d, and 4 + 2d.
Since the sum of the first three terms of the A.P is 18, we have:
4 + (4 + d) + (4 + 2d) = 18
Simplifying this equation, we get:
3d + 12 = 18
3d = 6
d = 2
Therefore, the first three terms of the A.P are 4, 6, and 8.
The product of the first three terms of the A.P is:
4 × 6 × 8 = 192
Therefore, the answer is 192.