Sect itself and 1 as a factor. The other student said l was not a prime accordin

Question

Sect itself and 1 as a factor. The other student said l was not a prime according to her textbook. How would you re- solve this problem? 2. Two students were discussing whether or not the sum of any three consecutive whole numbers was divisible by 3. One student said this was true because it worked for every example she had tried. The second student said it might not always be true because you can't prove something with examples. Write an explanation that begins with examples and then leads the students to understand that the sum of any three consecutive whole numbers is always divisible by 3. 3. When Ms. Lopez asked her class to use their tiles and make rectangular arravs for the counting numbers 1 to

Explanation / Answer

Solution:

First,
let the first whole number be k,
the second whole number be k + 1,
and the third whole number be k + 2.

Thus, we have three consecutive whole number.
The sum of these three integers is k + (k + 1) + (k + 2)
= 3k + 3
= 3(k + 1).

And since 3(k + 1) is always divisible by 3,

we have proved that the sum of three consecutive whole number is divisible by 3
Hence proved

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