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

Mathematics

1 answer:

lbvjy [14]3 years ago

6 0

Answer:

Step-by-step 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

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