# How do I find the sum of an arithmetic sequence on a calculator?

You can use the following general formula:

where the series has

(Ask a general question, get a general answer.)

Seems that it would be handy to have a closed form expression for the following:

where a and b are constants.

The commutative property of addition says

But we know closed form representations for both of these sums.

and

So

EXAMPLE

Suppose we wanted the following sum:

We want to find

which is, in fact, the sum of the numbers given.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How to find the first term, the common difference, and the nth term of the arithmetic sequence here? 8th term is 4; 18th term is -96
- How do you find the sum of the first 20 terms of the series #3+8+13+18+23+...#?
- The positive numbers e and f are the 2nd and 14th terms respectively of an arithmetic progression whose first term is 1.It is also given that e,9 and f are three consecutive terms of a geometric progression. Find the values of e and f. ?
- The sum of the first n term of a series is #3-[1/3^(n-1)]#. How to obtain the expression for the #n#th term of the series, Un?
- How do you find the sum of the infinite geometric series a1=26 and r=1/2?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7