The product of four consecutive whole numbers is 3024. What are these numbers?
+130466 We have
x (x + 1)(x+2) (x + 3) = 3024
Instead of solving this algebraically...let's make an "educated" guess....since the factors are "close together,".....let's take the 4th root of 3024....
This equals .... about 7.415...then, we might guess that the integers would be 7, 8, 9, 10
But this is impossible.....since the product would end in 0.....also.....the result is 5040....too big!!!
Tnen, the remaining guess is that 6,7,8,9 might work .....6 x 7 x 8 x 9 = 3024
Voila!!!....there's the answer....!!!
+130466 We have
x (x + 1)(x+2) (x + 3) = 3024
Instead of solving this algebraically...let's make an "educated" guess....since the factors are "close together,".....let's take the 4th root of 3024....
This equals .... about 7.415...then, we might guess that the integers would be 7, 8, 9, 10
But this is impossible.....since the product would end in 0.....also.....the result is 5040....too big!!!
Tnen, the remaining guess is that 6,7,8,9 might work .....6 x 7 x 8 x 9 = 3024
Voila!!!....there's the answer....!!!
