Infinite sum - Sum of all terms possible, from n=1 to n=∞.Sum of the first N terms - Result of adding up all the terms in the finite series.Number of terms - How many numbers does your geometric sequence contain?.Common ratio - Ratio between the term aₙ and the term aₙ₋₁.Initial term - First term of the sequence.
These values include the common ratio, the initial term, the last term, and the number of terms.
#Number sequence calculator online how to
Now that you know what a geometric sequence is and how to write one in both the recursive and explicit formula, it is time to apply your knowledge and calculate some stuff! With our geometric sequence calculator, you can calculate the most important values of a finite geometric sequence. But if we consider only the numbers 6, 12, 24 the GCF would be 6 and the LCM would be 24. For example, in the sequence 3, 6, 12, 24, 48 the GCF is 3 and the LCM would be 48. Conversely, the LCM is just the biggest of the numbers in the sequence. This means that the GCF (see GCF calculator) is simply the smallest number in the sequence. Indeed, what it is related to is the [greatest common factor (GFC) and lowest common multiplier (LCM) since all the numbers share a GCF or a LCM if the first number is an integer. First of all, we need to understand that even though the geometric progression is made up by constantly multiplying numbers by a factor, this is not related to the factorial (see factorial calculator). We also include a couple of geometric sequence examples.īefore we dissect the definition properly, it's important to clarify a few things to avoid confusion. If you are struggling to understand what a geometric sequences is, don't fret! We will explain what this means in more simple terms later on, and take a look at the recursive and explicit formula for a geometric sequence.
#Number sequence calculator online series
To make things more interesting, we've added an interesting option, which generates an alternating series by changing the sign of every second term to the opposite.The geometric sequence definition is that a collection of numbers, in which all but the first one, are obtained by multiplying the previous one by a fixed, non-zero number called the common ratio. You can also specify how many numbers to calculate and what symbol to use to separate them. The first two values of the series can be positive, negative, or even fractions. For example, the Negafibonacci is a decreasing sequence, and calculates as following: 0 - 1 = -1, then 1 - (-1) = 2, then (-1) - 2 = -3, and so on. In this case, each next value will be calculated as the difference between the two previous ones. By default, this tool will calculate an increasing sequence, however in the options above you can also choose a decreasing sequence. With this tool, you can create your own Fibonacci and Lucas-like series. Similarly, in the Lucas series, the first two values are 2 and 1, and the next one is 2 + 1 = 3. Then using this new value the next one is calculated as 2 + 1 = 3, and so on. In the real Fibonacci sequence, the first two values are 1 and 1, and the next value is obtained by adding them 1 + 1 = 2. This is an online browser-based utility for generating Fibonacci-like sequence with your own first two initial values.
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