8. Conjecture: "When you add any consecutive numbers together, the sum will always be a multiple of how many numbers you added up." a.) Show your work understanding the problem by writing the meaning next to each part consecutive numbers Remember you can do a web search (Google "consecutive numbers meaning") to see what consecutive numbers are! (Caution: it does not say "consecutive even" or "consecutive odd," just "consecutive.") Meaning of the word sum will always be a multiple of how many numbers you added up b.) Show at least four examples, being sure to choose all kinds of different amounts of consecutive integers. Example 1: Does it work? Example 2: Does it work? Example 3: Does it work? Example 4: Does it work? c.) Based on your examples, does it look like the conjecture is true, or only true sometimes? Explain.