nth Term
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Find nth terms and sums quickly.
nth Term
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Sum of First n Terms
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An arithmetic sequence changes by the same amount each step. A calculator helps you find any term or the total of the first n terms without writing out the whole list. That is useful in algebra and in any growing or shrinking pattern with a constant difference.
If a sequence starts at 3 and increases by 2, then the 10th term is much easier to calculate with the formula than by manual counting. The sum is also useful when you need the total of a fixed number of steps.
A rent increase of $50 per year is an arithmetic pattern. So is a savings plan that adds the same amount every month. The calculator shows how fast the pattern moves as n gets larger.
Because the difference is constant, the sequence is predictable. That makes it one of the easiest families to model and one of the most common in textbooks.
| a1 | d | n |
|---|---|---|
| 3 | 2 | 10 |
| 5 | -1 | 8 |
| 10 | 4 | 6 |
A constant difference between terms.
Yes. That means the sequence decreases.
It gives the total of the first n terms.