Find the common difference, d, given that 8x-3, 4x+1, 2x-2 are consecutive terms of an arithmetic sequence.
A)1/6
B) -10
C) 10
D) 5

B

Step-by-step explanation:

We are given that:

Are consecutive terms of an arithmetic sequence.

And we want to determine the common difference d.

Recall that for an arithmetic sequence, each subsequent term is d more than the previous term.

In other words, the second term is one d more than the first term. So:

And the third term is two d more than the first term. So:

We can isolate the d in the first equation:

As well as the second:

Then by substitution:

Solve for x:

The isolated first equation tells us that:

Therefore:

Our final answer is B.

answer: ouch. thats difficult

step-by-step explanation: