Maths

Number of red circle shapes used in the patteren :

3 , 6 , 10

The first difference is +3 and + 4
which leads the second difference to be +1

What do I do after this? especially if the 1st difference is 1?

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asked by Tia
  1. I expect the differences are 3,4,5,6,7,...

    Did you know that 1+2+3+...+n = n(n-1)/2 ?

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    posted by Steve
  2. sorry, that's n(n+1)/2

    So, you have (n+1)(n+2)/2

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    posted by Steve
  3. Yes , but how do you get
    n(n+1)/2?

    How do you do the working to achieve it?
    because normally you 1/2 the second difference and square the numbers to get a new sequence and then subtract the new sequence from 3 , 6 , 10.

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    posted by Tia

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