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.

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ISBN:9780470458365
Author:Erwin Kreyszig
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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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