Finding mystery integers/equations?

Question

1) Find an integer, x, greater than 4 where the sum of x consecutive integers is divisible by n

1a) Show the equation above gives the correct slope for the line tangent to a circle with a radius of 13 at the point (-5,12)

2) Find an integer, y, greater than 4 where the sum of y consecutive integers is not divisible by y

2a) Based on your results, make a conjecture about the divisibility by an integer k of an arbitrary sum of k consecutive integers

Answer 1

Hi!

http://integrals.wolfram.com/index.jsp    

Good  Luck!!