The students at Prairiewood Elementary plan to make a pyramid out of plastic cups. The bottom row has 15 cups. Moving up the pyramid, the number of cups in each row decreases by 1. a. If the students build the pyramid so that there are 12 rows, how many cups will be at the top? b. How many total cups will be required?

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A: Please refer the attached image for complete solution.

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Q: cubes

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Q: (a) How many students take none of the 3 courses? (b) How many students take Calculus alone?

A: HERE WE USE VENN DIAGRAM TO ANSWER THE QUESTION BELOW

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.