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?
I expect the differences are 3,4,5,6,7,...
Did you know that 1+2+3+...+n = n(n-1)/2 ?
sorry, that's n(n+1)/2
So, you have (n+1)(n+2)/2
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.
When the first difference is 1, you can infer that you have a linear pattern. To determine the number of red circle shapes used in the pattern, you can continue the pattern by adding the next number based on the second difference.
In this case, the first difference is +3 and +4, which means the second difference is +1. To find the next number, you can add the second difference to the last number in the pattern.
Let's work it out step by step:
Starting pattern: 3, 6, 10
First difference: 3, 4
Second difference: 1
Now, to find the next number, add the second difference (+1) to the last number in the pattern (10):
10 + 1 = 11
So, according to the pattern, the next number of red circle shapes used in the pattern would be 11.