How do I figure out what the nth term is in a sequence? Exmaple: 1, 3, 5,7,

What would be the 100th term? IF adding 2 to each would the formula be n+2? How to calculate 100th term?

The nth term would be N = 2n - 1.

Therefore, the 100th term would 2(100) - 1 = 199.

To figure out the nth term in a sequence, you first need to identify the pattern or rule that governs the sequence. In this example, the sequence is increasing by 2 each time.

To express this pattern for the nth term, you can use the formula:

nth term = first term + (n - 1) × common difference

In this case, the first term is 1 and the common difference is 2 (since you are adding 2 to each term to get to the next one).

To find the 100th term, substitute the values into the formula:

100th term = 1 + (100 - 1) × 2
= 1 + 99 × 2
= 1 + 198
= 199

Therefore, the 100th term in the sequence 1, 3, 5, 7, ... is 199.

To figure out the nth term in a sequence, you can use a mathematical formula called an arithmetic sequence. In your example, the sequence is 1, 3, 5, 7, where each term is obtained by adding 2 to the previous term.

The formula for the nth term of an arithmetic sequence is:
nth term = first term + (n - 1) * common difference

In this case, the first term is 1, and the common difference is 2 since we are adding 2 to each term.

To calculate the 100th term using this formula, substitute the values into the formula:

nth term = 1 + (100 - 1) * 2
= 1 + 99 * 2
= 1 + 198
= 199

Therefore, the 100th term in the sequence 1, 3, 5, 7 would be 199 if each term is obtained by adding 2 to the previous term.