The pattern 1, 8,27,64,125,... is a cubic pattern named because 1 = 1 • 1 • 1 or 13, 8 = 2 • 2 • 2 or 23, and so on.
a. What is the least 4-digit number greater than 1000 in this pattern?
b. What is the greatest 3-digit number in dais pattern?
c. What is the greatest number in dais pattern that is less than 104?
d. If this pattern was produced in a normal spreadsheet, what is the number in cell A14?
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