Can anyone tell me how this series works ? 2,3,10,15,26,35?

I got it out of a newspaper years ago and finally managed to work out a solution (and even wrote a little program in Commodore basic to put it on the screen)


I'm not being clever,but I think that my solution is a bit complicated for a ';Free newspaper puzzle';


Have you got any ideas?


Am I missing something obvious?


ThanksCan anyone tell me how this series works ? 2,3,10,15,26,35?
2,,,3,,,10,,,15,,,26,,,35 compare this with the square numbers





1,,,4,,,,9,,,,16,,,25,,,36 and these are either +1 or -1 different





+1,-1,+1,,,-1,,,,+1,,,-1





the next square number is 49 and you need to +1 so the answer is 50Can anyone tell me how this series works ? 2,3,10,15,26,35?
Hello Vincent





It is a proper sequence because the formula for the nth term is





n^2 + (-1)^(n+1)





Fred Report Abuse

is the next answer 49? let me know if it is because i dont want to put an explanation when im not even right and look like a da.....oh man i was one number off
is that the lottery numbers for today
it goes like this-- 1 square+1=2;2 square-1=3;


3 square+1=10;4 square-1=15;


5 square+1=26;6 square-1=35;


therefore 7 square+1=50;
i'm sorry i'm not good at maths i dont know.
The sequence of numbers (followed by the break down of my math) should be:


2 3 10 15 26 35 50 63


+1 +7 +5 +11 +9 +15 +13


+6 -2 +6 -2 +6 -2


-4 +4 -4 +4 -4





Etc.!
3-2 = 1


15-10 = 5 which is 1+4


35-26 = 9 which is 5+4





also 2+8 = 10 and 10+16 (OR 8X2)=26





so the next sequence is





50, 63
2, 3, 10, 15, 26, 35, ?


the numbers can be written as:-


1^2 + 1, 2^2 - 1, 3^2 + 1, 4^2 - 1, 5^2 + 1, 6^2 - 1, 7^2 + 1, ....


Hence the next number is 49 + 1 = 50.