The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern named because1equals=1times•1times•1or1 cubed13​,8equals=2times•2times•2or2 cubed23​,and so on. Use this pattern to complete parts ​(a) through ​(d) below.. What is the least​ 4-digit number greater than 1000 in this​ pattern?

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Asked Sep 11, 2019
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The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern named because

1equals=1times•1times•1

or

1 cubed13​,
8equals=2times•2times•2

or

2 cubed23​,

and so on. Use this pattern to complete parts ​(a) through ​(d) below.

. What is the least​ 4-digit number greater than 1000 in this​ pattern?
 
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Expert Answer

Step 1

The given series is 1, 8, 27, 64, 125, … are the cubed values of 1, 2, 3, 4, 5, … respectively.

Step 2

The least 4-digit number that is greater than 1,000 in this pattern can be ...

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X3 X 6 216 343 7 8 512 9 729 10 1,000 11 1,331

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