Question

for what value of m are the number x,2x+m and 3x+6 three consecutive terms​

Answer 1

If these three terms are consecutive, the difference between the first and second and second and third terms will be equal and difference between each term will be 1.

2x + m - x = 1

x + m = 1

x = 1 - m -------@

(2x + m) - (1) = (3x + 6) - (2x + m)

2x + m - 1 = 3x + 6 - 2x - m

2x + m - 1 = x - m + 6

2x - x + m + m = 6 + 1

x + 2m = 7

1 - m + 2m = 7 (From @)

m = 7 - 1

m = 6

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