11:32 Project1 Consec Numbs F19.doc Your Investigation: The numbers 15 and 21 can be written as a sum of sequential whole numbers as follows: 15 456 21 10 11 Look at other numbers and find out all you can about writing numbers as sums of sequential whole numbers For example (but not limited to): .What numbers can be written as a sum of 2 sequential whole numbers; of 3 sequential whole numbers; and so on. Are there any numbers that cannot be written as a sum of sequential whole numbers? Why or why not? Justify .Can any numbers be written with sequential whole numbers in more than one way? Why or why not? Justify .Why are any of these statements reasonable? Describe and justify additional patterns you find in your investigation. Justify Find as many mathematically interesting patterns as you can. Justify as many of these patterns you can. Be sure to clearly state any assumptions you are making in your work Your Report: You may work and are encouraged to work with a partner during your investigation of the project. However, you are to each turn in your own report, which should include conjectures and justifications in your own words You will be evaluated on the quality and validity of your mathematical conjectures and justifications. Dashboard Notifications Calendar To Do Inbox
11:32 Project1 Consec Numbs F19.doc Your Investigation: The numbers 15 and 21 can be written as a sum of sequential whole numbers as follows: 15 456 21 10 11 Look at other numbers and find out all you can about writing numbers as sums of sequential whole numbers For example (but not limited to): .What numbers can be written as a sum of 2 sequential whole numbers; of 3 sequential whole numbers; and so on. Are there any numbers that cannot be written as a sum of sequential whole numbers? Why or why not? Justify .Can any numbers be written with sequential whole numbers in more than one way? Why or why not? Justify .Why are any of these statements reasonable? Describe and justify additional patterns you find in your investigation. Justify Find as many mathematically interesting patterns as you can. Justify as many of these patterns you can. Be sure to clearly state any assumptions you are making in your work Your Report: You may work and are encouraged to work with a partner during your investigation of the project. However, you are to each turn in your own report, which should include conjectures and justifications in your own words You will be evaluated on the quality and validity of your mathematical conjectures and justifications. Dashboard Notifications Calendar To Do Inbox
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 64RE
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