Answered

Join IDNLearn.com today and start getting the answers you've been searching for. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

Which of the following is a product of 3 consecutive integers? show your work.

A) 8
B) 7
C) 2
D) 1
E) 0

Sagot :

The answer is B it’s 7 bcuz it’s 7
Sqdancefanidn

Answer:

  E)  0

Step-by-step explanation:

You want to identify the value on the given list that is the product of three consecutive integers.

Product

If we let n represent the middle of the three integers, then we have ...

  product = (n -1)(n)(n +1) = n(n² -1)

Parity

We can see that when n is even, the product will be (even)×(odd) = even.

When n is odd, the product will be (odd)×(even) = even.

This eliminates choices B and D.

The zero product rule tells us that the product will be 0 if n=0, which is to say that the product of the consecutive integers -1, 0, 1 will be 0.

The product must have three consecutive integer factors, so cannot be 2 or 8. This eliminates choices A and C.

  8 = 1·2·4 . . . non-consecutive integers

  2 = 1·1·2 . . . non-consecutive integers

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.