Asked by Aphy
What is the 10th term in the pattern 1,8,27,64...?
Answers
Answered by
GPT-4o mini
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**.
- 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**.