Pattern In A Table Of Numbers?

Question

I have this problem in math and they gave me a table of numbers and I have to write an equation. So here's the table:

In the first column the numbers are: 3, 4, 5, 6, 7, 8, 9, 10

In the second column the numbers are: 0, 1, 2, 3, 4, 5, 6, 7

In the third column the numbers are: 0, 2, 5, 9, 14, 20, 27, 35

What I have to do is write an equation for how you find the numbers in the third column if all you have are the first and second columns.

Answer 1

Complicated. I'm working on it too.

3 4 5 6 7 8 9 10
0 1 2 3 4 5 6 7
0 2 4 9 14 20 27 25

Got it
(Third row + 3) - (first row) = second row.

So
FINAL ANSWER IS:
Second Row + First Row - 3 = Third Row

Sweet, I got it first, lol.

Answer 2

Let A be your number in your first column

Let B be your number in your second column

Let C be your number in your third column

The formula for getting your C in your third column is to take A*B then divide by 2

A B C
--------------
3 0 0
4 1 2
5 2 5
6 3 9
7 4 14
8 5 20
9 6 27
10 7 35
----------------

I wish I could give you a formula for how to come up with the answer in the first place. All I did was stare at the numbers and try to discern a relationship between them until I figured it out. Sorry! I'd like to give better help so you can do these types of problems on your own. I don't think it's meaningful to you (or other askers) if I just answer them without an explanation, but I'm sorry I have no explanation in this case.

Good luck to you kid!

Answer 3

f = first column
s = second column
t = third column

(f x s)/2 = t

e.g. (8 x 5)/2 = 20