Question

the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x​

Answer 1

2

Explanation:

Since it is AP, the common difference is same for any term:

• (4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
• 3x - 3 = 2x -1
• 3x - 2x = 3 - 1
• x= 2

The first 3 terms are:

• 3, 6, 9

Since the last term is 18, it means this AP has 6 terms:

• {3, 6, 9, 12, 15, 18}

Answer: as we need to find the value of x only, it is = 2