1,8,27; 64; Rule Missing numbers

Mathematics

1 answer:

zubka84 [21]2 years ago

7 0

Answer:

rule: f(n) = n³

missing numbers: 125, 216, 343, 512, 729

Step-by-step explanation:

Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.

1 = 1·1·1 = 1³

8 = 2·2·2 = 2³

27 = 3·3·3 = 3³

64 = 4·4·4 = 4³

The rule is ...

f(n) = n³

The cubes of 5 through 9 will complete the set of numbers ...

1, 8, 27, 64, 125, 216, 343, 512, 729

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