Part (a) requires calculating the product of the given expression (-1) * (+2) * 0. we perform multiplication. Part (b), an expanded sum is provided, and the task is to write it in summation form using any indexing variable.
(a) To calculate the product (-1) * (+2) * 0, we multiply the numbers together. (-1) * (+2) equals -2, and multiplying -2 by 0 gives the final result of 0. Thus, the product is 0.(b) The given expanded sum can be written in summation form using any chosen indexing variable. Let's use the indexing variable i. By observing the pattern, we can see that the terms alternate between 1 and 2. To express this in summation form, we start from i = 1 and sum up to n, where n represents the number of terms in the series. The expression becomes ∑(i=1 to n) i*(i mod 2 + 1).
In this summation notation, i represents the indexing variable, i mod 2 + 1 determines whether the term is 1 or 2, and the summation is performed from i = 1 to n, where n represents the total number of terms in the series.
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