What is the 10th term in the pattern 1,8,27,64...?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

The sequence you provided consists of the cubes of the natural numbers. Specifically, the terms are:

  • 1 = \(1^3\)
  • 8 = \(2^3\)
  • 27 = \(3^3\)
  • 64 = \(4^3\)

Thus, the \(n\)th term of the sequence can be expressed as:

\[ n^3 \]

To find the 10th term, we calculate \(10^3\):

\[ 10^3 = 1000 \]

Therefore, the 10th term in the pattern is 1000.