Question
What is the product of 3 consecutive even integers if the middle integer is x?
Answers
Reiny
So your numbers would be
x-2, x, and x+2 , (even numbers are 2 apart)
"product" is the result of multiplication, so
(x-2)(x)(x+2)
= x(x^2 - 4)
or
= x^3 - 4x
check:
let the 3 numbers be 6,8, and 10, (so x = 8)
product = 6*8*10 = 480
from my formula: (8^3) - 4(8) = 512-32 = 480
x-2, x, and x+2 , (even numbers are 2 apart)
"product" is the result of multiplication, so
(x-2)(x)(x+2)
= x(x^2 - 4)
or
= x^3 - 4x
check:
let the 3 numbers be 6,8, and 10, (so x = 8)
product = 6*8*10 = 480
from my formula: (8^3) - 4(8) = 512-32 = 480