## Tuesday, September 27, 2011

Classwork 3:

We know that consecutive numbers are numbers which actually increases by number size.
In the question, the numbers are said to be even numbers. What is the difference between consecutive EVEN numbers like 2,4,6,8? (pause for 10 seconds)

That's right! It's 2!

For consecutive numbers to work, there must be a starting number(for example in 2,4,6,8, the starting number is 2). So, in that sense, we have to make the first number an unknown variable, which would be U.

By counting as 2+4+6+8, however, you get 20. The plan is to break down the numbers. If U is 2, then it would be
U
U+2
U+2+2
U+2+2+2
Thus, counting, we find 4(U or 2)+6(2)=20.

Thus, doing this method, we find out that for the question, 3 consecutive numbers would have...
U
U+2
U+2+2
So, 192-6=186
Now that we know 3(U) is 186, we can know the value of U.
186 / 3= 62
U=62

With reference with U 0r the first number we can find the other numbers.
1st: 62
2nd: 62+2=64
3rd: 64+2=66

CHECK:
62+64+66=192

THERE YOU HAVE IT!

By Marc, Darren, Sean

1. like the comedic element
fyi
consecutive even numbers can be written as
2k, 2k+2, 2k+4, .... (1)
consecutive odd numbers can be written as
2k+1, 2k+3, 2k+5, .... (2)

You will realise that the above sequences are independent on the values of k, eg.even if k is 1 or 2 (1) and (2) still work.

2. i like this one. its very well detailed and simple.

3. Simple and Easy to understand

4. Well detailed, easy to follow the steps

5. Clear and easy to understand.

6. Its good and can understand very easily.