The number 12 can be written as a sum of consecutive numbers, 3+4+5=12 Another example of a consecutive number sum is 3 since SI 1+2=3 Find 2 numbers that can be written as consecutive sums in more than one way and show those ways. Find 2 numbers that cannot be written as consecutive sums. Explain in detail why they cannot.
The number 12 can be written as a sum of consecutive numbers, 3+4+5=12 Another example of a consecutive number sum is 3 since SI 1+2=3 Find 2 numbers that can be written as consecutive sums in more than one way and show those ways. Find 2 numbers that cannot be written as consecutive sums. Explain in detail why they cannot.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Complete consecutive numbers. Follow directions carefully and give clear and through explanation (explain simply, 11 grade, in green)
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Consecutive Numbers
Handout
The number 12 can be written as a sum of consecutive numbers,
3+4+5=12
Another example of a consecutive number sum is 3 since
1+2=3
Find 2 numbers that can be written as consecutive sums in more than one way and show those
ways.
Find 2 numbers that cannot be written as consecutive sums. Explain in detail why they cannot.
Using the hundred chart circle three numbers in a row (horizontally) and add them. Try this with
several sets of numbers. For example, 87+88+89.
X
Describe the pattern that emerges. How does the sum relate to the middle number?
Explain in detail why this pattern exists.
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