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1. • • 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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     Sequence Calculator (n-th term calculator)

2. People also ask

   How do you find the nth term of an arithmetic sequence?

   • To find the nth term of a sequence use the formula an=a1+ (n−1)d. Here’s how to understand this nth term formula. The nth term of an arithmetic sequence is given by: To find the nth term, first calculate the common difference, d. Next multiply each term number of the sequence (n = 1, 2, 3, …) by the common difference.

   Nth Term Of A Sequence - GCSE Maths - Steps & Examples

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   How do you find terms in a sequence?

   • Sequences can be linear, quadratic or practical and based on real-life situations. Finding general rules helps find terms in sequences. If the nth term of a sequence is known, it is possible to work out any number in that sequence. Write the first five terms of the sequence \ (3n + 4\). \ (n\) represents the position in the sequence.

   Sequences - Edexcel Using the nth term - BBC

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   How do you write the first five terms of a sequence?

   • Write the first five terms of the sequence \ (3n + 4\). \ (n\) represents the position in the sequence. The first term in the sequence is when \ (n = 1\), the second term in the sequence is when \ (n = 2\), and so on. To find the terms, substitute \ (n\) for the position number:

   Sequences - Edexcel Using the nth term - BBC

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   How do you find the length of an arithmetic sequence?

   • Suppose you know that a given arithmetic sequence begins at 100 and increases by 13. You are also told that the final term is 2,856. To find the length of the sequence, use the terms a1=100, d=13, and a (n)=2856. Insert these terms into the formula to give . If you work this out, you get , which equals 212+1, which is 213.

   4 Ways to Find Any Term of an Arithmetic Sequence - wikiHow

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   How do you find the n th term of a sequence?

   • The n th term of this sequence is 6n – 2. To find the 21 st term, n = 21 (6 x 21) – 2 = 124 The 21 st term is 124. E.g. Given the n th term rule, 3n + 4, find the 20 th and 100 th term for this sequence. To find the 20 th term, n = 20 (3 x 20) + 4 = 64 To find the 100 th term, n = 100 (3 x 100) + 4 = 304.

   Sequences - GCSE Maths - Steps, Examples & Worksheet - Third Space …

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   How do you write a arithmetic sequence?

   • 1. Write down the first three terms in the sequence 4n – 7 4n–7. 2. Below is a table describing the position of each term in an arithmetic sequence and the value of these terms. State the value of the first term in the sequence. 3. Below are the first 5 terms of an arithmetic sequence.

   Nth Term Of A Sequence - GCSE Maths - Steps & Examples

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3. Videos

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4. www.bbc.co.uk › bitesize › articlesFinding the 𝒏th term of an arithmetic sequence - KS3 Maths ...

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   The 𝒏th term of this sequence is 5𝒏 + 2. Using this general rule it is possible to find any term within the sequence without writing down each number.

   • Generate a formula from a sequence Finding the nth term ... - BBC

     Learn about the nth term and how to find the formula for a...

   • Sequences - Edexcel Using the nth term - BBC

     If the nth term of a sequence is known, it is possible to...

5. www.bbc.co.uk › bitesize › guidesGenerate a formula from a sequence Finding the nth term ... - BBC

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   Learn about the nth term and how to find the formula for a sequence with this BBC Scotland Bitesize Maths guide for 3rd Level Curriculum for Excellence.

6. www.bbc.co.uk › bitesize › guidesSequences - Edexcel Using the nth term - BBC

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   If the nth term of a sequence is known, it is possible to work out any number in that sequence. Example. Write the first five terms of the sequence \ (3n + 4\). \ (n\) represents the...

7. thirdspacelearning.com › gcse-maths › algebraNth Term Of A Sequence - GCSE Maths - Steps & Examples

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   To find the nth term of a sequence use the formula an=a1+ (n−1)d. Here’s how to understand this nth term formula.

8. www.mathway.com › Calculator › sequence-calculatorSequence Calculator - Mathway

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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.

9. thirdspacelearning.com › gcse-maths › algebraSequences - GCSE Maths - Steps, Examples & Worksheet

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   Here we will learn about different types of sequences including arithmetic sequences, geometric sequences and quadratic sequences and how to generate them and find missing terms, along with special sequences like the fibonacci sequence. We will also learn how to find the nth term of linear sequence and the nth term of a geometric sequence and ...

10. www.wikihow.com › Find-Any-Term-of-an-Arithmetic4 Ways to Find Any Term of an Arithmetic Sequence - wikiHow

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    Sep 19, 2023 · In its original form, () = + (), the explicit formula is designed to solve for a n and give you the nth term of a sequence. However, you can algebraically manipulate this formula and solve for any of the variables.

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