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Question: identify a pattern for sums of consecutive numbers examples of...

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Identify a Pattern for Sums of Consecutive Numbers. Examples of sums of consecutive numbers: 3+4-7 2+3 +49 4+5+6 + 7-22 In these examples, 7 is shown to be a sum of two consecutive numbers, 9 is shown to be a sum of three consecutive numbers, and 22 is shown as the sum of four consecutive numbers. Some numbers can be shown to be the sum of consecutive numbers, and some numbers cannot. a. For each number 1 through 35, find all the ways to write each as the sum of two or three consecutive numbers. b. What are three discoveries you made about sums of consecutive numbers? c. Without doing any calculations, predict which of the following will be possible to write as ahe sunm of two consecutive numbers, three consecutive numbers, four consecutive numbers, and so on 45 57 62 75 80 d. Use the discoveries from part b. to write the following as the sum of two or more consecutive numbers. Describe the shortcuts you discovered and use them to write numbers in part c. as the sum of two or three consecutive numbers.

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