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- For an arithmetic sequence, the nth term is calculated using the formula s + d x (n - 1). So the 5-th term of a sequence starting with 1 and with a difference (step) of 2, will be: 1 + 2 x (5 - 1) = 1 + 2 x 4 = 9. For a geometric sequence, the nth term is calculated using the formula s x s(n - 1).
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Free sequence calculator - step-by-step solutions to help identify the sequence and find the nth term of arithmetic and geometric sequence types.
Find sequence types, indices, sums and progressions step-by-step. The formula for the nth term of a Fibonacci sequence is a_n = a_ (n-1) + a_ (n-2), where a_1 = 1 and a_2 = 1. A Fibonacci sequence is a sequence of numbers in which each term is the sum of the previous two terms.
- The formula for the nth term of a Fibonacci sequence is a_n = a_(n-1) + a_(n-2), where a_1 = 1 and a_2 = 1.
- A Fibonacci sequence is a sequence of numbers in which each term is the sum of the previous two terms. It is represented by the formula a_n = a_(n-...
- The most common types of sequences include the arithmetic sequences, geometric sequences, and Fibonacci sequences.
- Arithmetic Sequence
- Geometric Sequence
- Fibonacci Sequence
An arithmetic sequence is a number sequence in which the difference between each successive term remains constant. This difference can either be positive or negative, and dependent on the sign will result in terms of the arithmetic sequence tending towards positive or negative infinity. The general form of an arithmetic sequence can be written as: ...
A geometric sequence is a number sequence in which each successive number after the first number is the multiplication of the previous number with a fixed, non-zero number (common ratio). The general form of a geometric sequence can be written as: In the example above, the common ratio r is 2, and the scale factor a is 1. Using the equation above, ...
A Fibonacci sequence is a sequence in which every number following the first two is the sum of the two preceding numbers. The first two numbers in a Fibonacci sequence are defined as either 1 and 1, or 0 and 1 depending on the chosen starting point. Fibonacci numbers occur often, as well as unexpectedly within mathematics and are the subject of man...
This online tool can help you find n th term and the sum of the first n terms of an arithmetic progression. Also, this calculator can be used to solve much more complicated problems. For example, the calculator can find the common difference (d) if a5 = 19 and S 7 = 105.
Jan 18, 2024 · The formulas to calculate a sequence's nth term (arithmetic and geometric sequences); Interesting integer sequences (prime numbers, Fibonacci numbers, figurate numbers); And much more. We will teach you how to use our versatile tool and give you some examples of sequence calculations.
Free General Sequences calculator - find sequence types, indices, sums and progressions step-by-step.
Sequence calculator online - get the n-th term of an arithmetic, geometric, or fibonacci sequence, as well as the sum of all terms between the starting number and the nth term. Easy to use sequence calculator.
