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Calculus
Sequences and Series
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Evaluate \[1 + 2 + 3 + \cdots + 98 + 99 + 100 = \sum_{i=1}^{100} i. \]
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by Brilliant Staff
Let \[ S_n = \sum_{k=1}^{n} k^2.\]
Which of the following is not equal to \(S_6\)?
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Let \(\displaystyle S_n = \sum_{k=1}^{n} (-1)^{k^2 + k}\). Then \(S_n = \,\)?
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Iterative Step: Walk halfway to B; this point is the starting point for the next iteration.
How many kilometers will Zeno have walked after performing the iterative step 100 times?
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