1) The rule is the difference between the last 2 numbers in the sequence +1 added onto the previous number = the next number in the sequence.
X = the number you are trying to find
Y and Z = the past 2 numbers. Z is the previous number that is before the number you are trying to find.
A= The difference between Z and Y
The difference between Z and Y + 1 = A .
A+1 + Z = X
To put this into a real situation.
Sequence : 4, 6 , 9 , X
9-6 = 3
9 + 3 + 1 = X = 13
This then continues using the same rule.
Attached is a graph to show the elation ship between the volume and ammount of pebbles.
2) The rule is the difference between the previous 2 numbers in the sequence + 2 + the previous number = the next number in the sequence.
X = The number you are trying to find.
Y and Z = the previous 2 numbers in the sequence. z is the previous number in the sequence.
A = the difference between Y and Z.
The difference between Z and Y = A
A + 2 + Z = X
3) It is always going to be 0.
4) The rule is the same as Q 2.
For clearer pictures please email me.
Also, for my working or all of the graphs I have done please email me as it would only let me attach 1 thing!
Many Thanks
Peter Cook