The Pattern of Odd Numbers: Finding the 100th Term
This sequence, 1, 3, 5, 7, 9, represents the first few odd numbers. To find the 100th term, we need to understand the pattern.
The Pattern
Each term in the sequence is 2 greater than the previous term. This is the defining characteristic of odd numbers.
Formula
We can represent this pattern with a simple formula:
Term = (2 * n) - 1
where 'n' is the position of the term in the sequence.
Finding the 100th Term
To find the 100th term, we substitute 'n' with 100 in the formula:
Term = (2 * 100) - 1 Term = 200 - 1 Term = 199
Therefore, the 100th term of the sequence 1, 3, 5, 7, 9... is 199.