The sum of the first three terms of A. P is 18 if the first term is 4 find their product

Question

Brielle Dyer

Mathematics

25 October, 10:04

The sum of the first three terms of A. P is 18 if the first term is 4 find their product

+5

Answers (1)

Know the Answer?

Alex Parker · Answer 1

192

Step-by-step explanation:

The sum of the first 3 terms of the A. P is

a + a + d + a + 2d = 18, that is

3a + 3d = 18 ← substitute a = 4

12 + 3d = 18 (subtract 12 from both sides)

3d = 6 (divide both sides by 3)

d = 2

Thus the first 3 terms are

4, 6, 8 and their product = 4 * 6 * 8 = 192