3 Step Stairs

Authors Avatar

Part 1

3 Step Stairs

Structures

This is a 3 step stair on a 10 x 10 number grid:

All 3 step stairs consist of 6 squares and its total is found by adding all the numbers inside the squares.

Total = (25+26+27+35+36+45)

Total = 194

This 3 step stair is in a certain position on the grid. This position is called P1 (see below)

This position is called P1

This position is called P2

This position is called P3

This position is called P4

Formulas

There are 4 different formulas to find the total of the 3 step stairs, each one depending on the position of the stairs.

e.g. total = number added + ((number of squares x squares right) + (10number of squares x squares up))

Number added = (1+2+3+11+12+21)

Number added = 50

Number of squares = 6

Join now!

Squares right = 0

Squares up = 0

Abbreviations:

Total = n

Number of squares = s

Squares right = r

Squares up = u

For this position, in 3 step stairs, the formula would be:

n = 50 + ( ( s x r ) + ( 10s x u ) )

By using the same method as before, I can work out the formulas for the other positions of 3 step stairs.

For this position, in 3 step stairs, the formula would be:

n = 90 + ( ...

This is a preview of the whole essay