Math Problem Statement

2 ? 27 64 what is the second term

Solution

The sequence given is 22, ??, 2727, 6464. To find the missing second term, let's analyze the pattern.

Notice that 22, 2727, and 6464 are perfect cubes:

  • 2=13+12 = 1^3 + 1
  • 27=3327 = 3^3
  • 64=4364 = 4^3

The pattern seems to be the cubes of natural numbers. If this is true, then the second term should be 232^3:

23=82^3 = 8

So, the second term is 88.

Would you like further details or have any questions?

Here are some related questions you might be interested in:

  1. What would be the next term in the sequence 22, 88, 2727, 6464?
  2. How do you find the nnth term of a cubic sequence?
  3. What are some common types of number sequences?
  4. How do geometric and arithmetic sequences differ from cubic sequences?
  5. Can you have a sequence that is neither arithmetic nor geometric but follows a different pattern?

Tip: When analyzing a sequence, always check if the terms relate to powers, especially squares or cubes.

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Math Problem Analysis

Mathematical Concepts

Sequences
Cubic Numbers

Formulas

n^3 for natural numbers n

Theorems

Cube Numbers

Suitable Grade Level

Grades 6-8