ūüĎČ Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A

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The first element of the sequence is: a 1 = 2. The n-th term is computed by: a n = a 1 + (n - 1)·d. a 10 = 2 + (10 - 1)· (2) = 20. a10 = 20. The sum of the first n terms of the sequence: S n = n· (a 1 + a n) / 2. S 10 = (2 + 20)· (10) / 2 = 110. S10 = 110.

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Learn more about its derivation, and also explore hundreds of other calculators covering topics including math, finance, health, fitness, and more. Free Sequences calculator - find sequence types, indices, sums and progressions step-by-step Calculation of the terms of a geometric sequence. The calculator is able to calculate the terms of a geometric sequence between two indices of this sequence. Thus, to obtain the terms of a geometric sequence defined by `u_n=3*2^n` between 1 and 4 , enter : sequence(`3*2^n;1;4;n`) after calculation, the result is returned.

Explicit formula calculator

Arithmetic Sequence Calculator Find indices, sums and common diffrence of an arithmetic sequence step-by-step

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for learning distance formula equation, use Distance Formula Calculator. Difference between Arithmetic Sequence and Series In this paragraph, we will learn about the difference between arithmetic sequence and series sequence, along with the working of sequence Recursion Calculator A recursion is a special class of object that can be defined by two properties: 1. Base case 2. Special rule to determine all other cases An Explicit expenses are real expenses that the company records in its financial statements. Example of Explicit Cost.
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Explicit formula calculator

Definition: Arithmetic sequence is a list of numbers where each number is equal to the previous number, plus a constant. Use the "Calculate" button to produce the results.

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The distance formula has different concepts than arithmetic sequenc formula. for learning distance formula equation, use Distance Formula Calculator. Difference between Arithmetic Sequence and Series In this paragraph, we will learn about the difference between arithmetic sequence and series sequence, along with the working of sequence

The first of these is the one we have already seen in our geometric series The explicit formula for an arithmetic series is a n = a 1 + (n - 1)d d represents the common difference between each term, a n - a n - 1 Looking at all the terms, we see the common difference is 2, and we have a 1 = 2 Therefore, our explicit formula is an = 2 + 2 (n - 1) Free Sequences calculator - find sequence types, indices, sums and progressions step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy. This free number sequence calculator can determine the terms (as well as the sum of all terms) of an arithmetic, geometric, or Fibonacci sequence.


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I googled a bit, yet didn't find anything simple to understand. I already know that generation functions probably solve it, they're too complex, I'd rather not get into them. I'm looking for a simpler way. P.S. The above formula is an explicit formula for an arithmetic sequence.