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
icon
Related questions
Question
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
Transcribed Image Text: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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning