Chapter8: Sequences, Series,and Probability
Section8.2: Arithmetic Sequences And Partial Sums
Problem 72E: A triangular brick wall is made by cutting some bricks in half to use in the first column of every...
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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 .

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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