Question

determine x so that x-2,4x-1 and 5x+2 are 3 consecutive terms of an AP​

Answer 1

Answer:

AP: x-2, 4x-1, 5x+2

a=x-2, d=4x-1-x+2=3x+1

A3=a+2d

5x+2=x-2+2(3x+1)

5x+2=x-2+6x+2

5x+2=7x

2x=2

x=1

Answer 2

Answer:

The value of X is 1.

Step-by-step explanation:

Given:

determine x so that x-2, 4x-1 and 5x+2 are 3 consecutive terms of an AP

Solution:

AP is x – 2, 4x – 1, 5x + 2

First term, a = x – 2,

Difference between two terms, d = 4x – 1 – x + 2 = 3x + 1

The third term = a + 2d = x – 2 + 2(3x + 1)

= x – 2 + 6x + 2

5x + 2 = 7x

2x = 2,

x = 1

Result:

The value of X is 1.

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