1) For the three consecutive numbers, we realised that the total is equivalent to the next number, take away the first original number. For instance, if the three consecutive numbers are 1,1 and 2, then when you total it, it equals 4. If you take away the first number(-1), you get 3, the next number. It works for others as well.
If the three consecutive numbers are 3,5 and 8, then when you total it, it equals 16. If you take away the first number(-3), you get 13, the next number.
This works because the last two numbers in your consecutive sequence already total the next number. Taking away the previous number, just makes the sum 2nd number+3rd number.
3+5+8=n-3This is the same as 5+8=13.
2) For the four consecutive numbers, we noticed that the 1st number(x) plus the fourth number(n) divided by 2 is equal to the third number(q).
x + n
------ = q
2
For example, say the consecutive numbers are 1,2,3 and 5.
1 + 5
------- = 3.
2
3 is also the third number in the consecutive sequence.
If the other numbers were 5,8,13 and 21, then
5 + 21
-------- = 13, which is also the 3rd number in the consecutive sequence.
2
Our teacher's email address is Jessica.wright@tts.edu.sg if you need to contact her. Thank you!