Number Stairs

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Number Stairs

1+2+3+11+12+21=50

8+9+10+18+19+28=92

48+49+50+58+59+68=332

71+72+73+81+82+91=470

15+16+17+25+26+35=161

This is the stairs numbers and I add all the stair number and every time I got different totals. E.g. 50, 92, 332, 470 and 161

71+72+73+81+82+91=470

72+73+74+82+83+92=476

73+74+75+83+84+93=482

74+75+76+84+85+94=488

I am finding out different totals, but going up by set amount.

Every time it goes up by 6.

Stair Number:  71                      72                         73                         74

Stair total:      470                         476                        482                         488                

Difference:                     6                           6                               6

Now I know this pattern I can predict that the stair total for stair 75 will be 492 as 488+6.

To make sure that is right I have to test prediction.

75+76+77+85+86+95=494                 my predict is right

We can therefore say that every time you move the stair shape one square to the right you increase the stair total by 6 and every time you move the stair shape one square to the left you decrease the stair total by 6.

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72 + 73 + 74 + 82  +  83 +    92 = 476

72  72+1 72+2 72+ 10 72+11 72+20

         1 + 2  +   10 +   11  +   22  = 44

72x6+44=476

This is the formula  

If I want to find 76 I don’t have to write all the number and add them.

I just need to do it 76x6+44=500 to find out I am right I have to work it out.

76+77+78+86+87+96=500   my predict is right

31+32+33+41+42+51=230

32+33+34+42+43+52=236

33+34+35343+44+53=242

I ...

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