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College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 38RE: Baling Hay In the first two trips baling hay around a large field, a farmer obtains 123 bales and...
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How can I prove that 1/2 [n(n+1) ] is an expression based on the pattern of the blocks by doing number 1 on my hw .
the sum. In the tile pattern below, the first block arrangement
has 1 block, the second block arrangement has 1 +2 blocks, the
third tile arrangement has 1 + 2+3 blocks.
2
3
Assuming the block arrangements grow in the same way,
the nth arrangement would have blocks.
1. Use the visualization to determine two additional solution
strategies to determine the sum of the first n natural
numbers.
2. If teaching this task, how would you sequence these three
solution strategies (the original provided and your two
strategies)? Briefly provide rationale for your choices.
Transcribed Image Text:the sum. In the tile pattern below, the first block arrangement has 1 block, the second block arrangement has 1 +2 blocks, the third tile arrangement has 1 + 2+3 blocks. 2 3 Assuming the block arrangements grow in the same way, the nth arrangement would have blocks. 1. Use the visualization to determine two additional solution strategies to determine the sum of the first n natural numbers. 2. If teaching this task, how would you sequence these three solution strategies (the original provided and your two strategies)? Briefly provide rationale for your choices.
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