Question

(2x+1),(3x+1)and (5x-2) what is the value of common difference (d) ?​

Answer 1

Step-by-step explanation:

Solving this problem in steps:

The definition of an arithmetic sequence is that the difference between consecutive terms are always equal. Therefore (2x-3) - (x+1) = (x+5) - (2x-3)

Solving both sides of the equation, you get: x - 4 = -x + 8

Now as you can see, we’ve turned a three term sequence into a 2-sided algebra equation. Adding (x+4) to both sides yields: 2x = 12, or x=6

Plugging this x into the sequence we can see that (6+1)=7, (12–3) = 9, (6+5)= 11 indeed follows a pattern, with a difference of 2

Therefore, the next term must be 11+ 2 = 13 ANS.