Question

What value of x will make this an arithmetic series?

x, 0.5x + 7, 3x - 1...

Answer 1

HINT: In an arithmetic series, each difference is the same.

Answer 2

For that to be an arithmetic series, x must satisfy the ff:
(0.5x+7)-x=(3x-1)-(0.5x+7)

Answer 3

I know that the difference is the same. But I still can't find the value for x.

Answer 4

If the series is
S1,S2,S3,S4,...
then, S2-S1 = S3-S2 = S4-S3 = Sn - S(n-1)

Answer 5

You that means you can set up that equation that blockolder set up for you. Solve that equation for x.

Answer 6

I still seem to be unable to solve it =S

Answer 7

You sure?

Answer 8

Yes.

Answer 9

x, 0.5x + 7, 3x - 1...
Treat it like any normal algebra problem. Simplify. Gather the xs on one side and the constants on the other.
(0.5x+7) - x = (3x-1)-(0.5x+7)
-0.5x+7 = 2.5x -8
-3x +7 = -8
-3x = - 15
x = (-15/-3) = 5

Answer 10

what if instead of 3x - 1, we had 3x + 1, what would happen then?