Question

What is the correct algebraic expression of the following statement?

The sum of three consecutive integers.


x(x + 1) + (x + 1)


x(x + 2)


x + (x + 1) + (x + 2)


x(x + 1)

Answer 1

x + (x + 1) + (x + 2)

Explanation:

Let first integer be x

the consecutive one would be x + 1

the next one after that would be (x+1)+1 = x + 2

Add these three resultant expressions up.

The condensed form would be 3x + 3