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Question

 Find the value of x for which the numbers (5x+2), (4x-1) and (x + 2) are in AP.
 


Solution

If the terms are in AP, we know that 2B = A+C.

A = (5x+2)

B = (4x-1)

C = (x + 2)

2B = A + C 

=> 2(4x - 1) = 5x + 2 + x + 2

=> 8x - 2 = 6x + 4

=> 8x - 6x = 4 + 2

=> 2x = 6

=> x = 3


Mathematics
Secondary School Mathematics X
Standard X

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