1 2 3 4 5 N Calculator
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Reviewed by Calculator Editorial Team
This calculator helps you find the nth term of an arithmetic sequence where the first five terms are 1, 2, 3, 4, and 5. An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant.
What is 1 2 3 4 5 n?
The sequence 1, 2, 3, 4, 5 is an arithmetic sequence where each term increases by a common difference. In this case, the common difference (d) is 1 because 2 - 1 = 1, 3 - 2 = 1, and so on.
The nth term of an arithmetic sequence can be calculated using a simple formula. This calculator uses the given sequence to determine the pattern and find any term in the sequence.
How to Calculate the nth Term
To find the nth term of an arithmetic sequence, you need to know:
- The first term (a₁)
- The common difference (d)
- The term number (n)
For the sequence 1, 2, 3, 4, 5:
- First term (a₁) = 1
- Common difference (d) = 1
The formula to find the nth term (aₙ) is:
aₙ = a₁ + (n - 1) × d
Formula
The general formula for the nth term of an arithmetic sequence is:
aₙ = a₁ + (n - 1) × d
Where:
- aₙ = nth term
- a₁ = first term
- d = common difference
- n = term number
For the sequence 1, 2, 3, 4, 5:
- a₁ = 1
- d = 1
So the formula becomes:
aₙ = 1 + (n - 1) × 1 = n
Example Calculation
Let's find the 10th term (a₁₀) of the sequence 1, 2, 3, 4, 5.
Using the formula:
a₁₀ = 1 + (10 - 1) × 1 = 1 + 9 × 1 = 10
So the 10th term is 10.
Notice that in this specific sequence, the nth term is equal to n. This is because the first term is 1 and the common difference is 1.
Common Mistakes
When calculating the nth term of an arithmetic sequence, common mistakes include:
- Using the wrong first term or common difference
- Incorrectly applying the formula (forgetting to subtract 1 from n)
- Confusing the term number with the term value
Double-check your values and ensure you're using the correct formula.
FAQ
An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant. This difference is called the common difference.
The common difference is found by subtracting any term from the term that follows it. For the sequence 1, 2, 3, 4, 5, the common difference is 1.
Yes, the nth term can be negative if the first term and common difference result in a negative value for the specified term number.