Three terms, 19-6x, 2 + 4x, 6x + 1, are in arithmetic progression.

a) Calculate the value of x.

So therfor from 19-6x to 2+4x the diffence if the same as the diffence between 2+4x an d6x+1

so (2+4x) - (19-6x) = (6x+1) - (2+4x)

add like terms

2+4x-19+6x=6x+1-2-4x

10x-17=2x-1

add 17 to both sdies

10x-2x+16

subtract 2x form both sdies

8x=16

divide boht sdie syb 8

x=2

x=2

therfor the terms are

7, 10, 13