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Part 1 of 1
The formula n²+1 appears frequently because it tests whether you can move beyond simple addition. Create a quick mental list of square numbers: 1, 4, 9, 16, 25.
Then check whether the sequence is one larger than these values. This method is faster than calculating differences repeatedly.
Worked example
The sequence 2, 5, 10, 17, 26 follows n²+1. For n=1, 1²+1=2. For n=5, 5²+1=26. The next value is 6²+1=37.
1.The sequence n²+1 produces increasing gaps between numbers.
2.The sequence 2,5,10,17 follows a constant difference rule.
3.Checking square numbers is useful when differences increase regularly.
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