Find all possible arithmetic sequences of integers, with a common difference of 2, whose sum is exactly 2016.

(In reply to computer solution by Charlie)

a. Your count of possible solutions to a*b  solutions is correct, mine and Jer's  are not , counting twice the part with negative numbers.

b.  However since  "arithmetic progression is a sequence of numbers such that the difference of any two successive members of the sequence is a constant" the first two entries hardly qualify:

2016 - there are no successive members,

1007,1009 - no constant difference.

So  the total number of arithmetic  sequences is 34.

Posted by Ady TZIDON on 2015-01-24 02:09:04