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3. Number patterns The manager of a grocery store asks a stock clerk to arrange a display of canned vegetables in a triangular pyramid like the one shown. Assume all cans are the same size and shape.

3. Number patterns The manager of a grocery store asks a stock clerk to arrange a display of canned vegetables in a triangular pyramid like the one shown. Assume all cans are the same size and shape.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Number patterns The manager of a grocery store asks a stock clerk to arrange a display of canned vegetables in a triangular pyramid like the one shown. Assume all cans are the same size and shape. a) How many cans is the tallest complete pyramid that the clerk can make with 100 cans of vegetables? b) How many cans make up the base level of the pyramid in part a)? c) How many cans are in the full pyramid in part a)? d) What is the sequence of the numbers of cans in the levels of the pyramid?
Transcribed Image Text:3. Number patterns The manager of a grocery store asks a stock clerk to arrange a display of canned vegetables in a triangular pyramid like the one shown. Assume all cans are the same size and shape. a) How many cans is the tallest complete pyramid that the clerk can make with 100 cans of vegetables? b) How many cans make up the base level of the pyramid in part a)? c) How many cans are in the full pyramid in part a)? d) What is the sequence of the numbers of cans in the levels of the pyramid?
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