... there is an equal gap each time. The more consecutive numbers the bigger the gap between each sum. E.g. 2 Consecutive Numbers I noticed that all of these consecutive numbers are all odd numbers 3,5,7,9,11.I also noticed that an Nth term could be found. E.g. 1 2 3 4 5 3 5 7 9 11 2 2 2 2 Nth term = 2n 100th term = 2 x 100 + 1= 201 I want the 3rd term I know that the term will be 7 but I need to make sure my theory works. E.g. 1 2 3 4 5 3 5 7 9 11 2 2 2 2 Nth term = 2n 3rd term = 2 x 3 + 1=7 3 Consecutive Numbers I am going to try and find out the nth term for 3 consecutive numbers. E.g. 1 2 3 4 5 6 9 12 15 18 3 3 3 3 Nth term = 3n 100th term = 3x100 + 3=303 Again to prove this is right I will work out the third term. Nth term =3n 3rd term = 3 x 3 + 3 =12 I have proved that my theory works. ...

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