Question

Find the value of p so that p+5 , 4p +3 , 8p - 2 will form successive terms of an arithmetic progression.

Answer 1

Whatever is added to (p+5) to get (4p + 3) has to be the same value as that added to (4p + 3) to get (8p - 2). That "whatever" is the common difference of the arithmetic sequence.

I am thinking that to find that common difference, you could find the value of p that generates common difference.

To that end, solve this equation for p:

( 4p +3) - (p+5) = (8p - 2) - (4p+3) --> Solve this

What you get for p is not the common difference. But, if you use that value of p to evaluate each of the three terms, you will see what the common difference is.

@jessssloukaa

Answer 2

thank you @Directrix x