To investigate consecutive sums. Try to find a pattern, devise a formulae and establish which numbers cannot be made using consecutive sums.

... Introduction The Assigned Task To investigate consecutive sums. Try to find a pattern, devise a formulae and establish which numbers cannot be made using consecutive sums. To Solve the Task I am going to approach the task systematically, by running through the first twenty sums up to 5 consecutive. I shall devise a formulae and attempt to prove it. What I am Going to Do I am going to devise formulae and work out the answer to a sum I have not already done. I shall then go on to prove it by adding the sum manually. After consecutive sums have been fully investigated, I intend to take it further by investigating into consecutive minuses, squares etc. Tables shall be used where appropriate. Essential ideas may be marked in green, formulae etc., in blue. Consecutive Sums The Following Pages The following pages shall be used for the working out of many consecutive sums and their formulae. The formula for this is 2n-1 Where

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