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1. • • The first term is given as 1. Each number that follows is double the number before.
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     Sequences - Sequences - AQA - GCSE Maths Revision - AQA - BBC ...

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

   • If I had two terms I could use the n − th term formula to calculate the first term. For example: The second term of an arithmetic sequence is 4. The fifth is 10. Find the first term. In this task we have 2 terms given: a2 = 4 and a5 = 10. We can use the n −th term formula to build a system of equations: {a1 + d = 4 a1 + 4d = 10

   How do I find the first term of an arithmetic sequence?

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   What is the second term of an arithmetic sequence?

   • The second term of an arithmetic sequence is 4. The fifth is 10. Find the first term. In this task we have 2 terms given: a2 = 4 and a5 = 10. We can use the n −th term formula to build a system of equations: {a1 + d = 4 a1 + 4d = 10 If we subtract the first equation from the second we can calculate d: 3d = 6; d = 2

   How do I find the first term of an arithmetic sequence?

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   What is an arithmetic sequence?

   • An arithmetic sequence is a list of numbers with a specific pattern where each term is derived by adding a constant value, called the common difference, to the previous term. To identify the first term of an arithmetic sequence, we often use the nth term formula:

   How to Find the First Term of an Arithmetic Sequence - A Starter's Guide

   www.storyofmathematics.com/how-to-find-the-first-term-of-an-arithmetic-sequence/

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   How do you find the 100th term of a sequence?

   • For example, in the working example …, we know that a (1) is the first term 3, and the common difference d is 5. Suppose you are asked to find the 100th term in that sequence. Then n=100, and (n-1)=99. The complete explicit formula, with the data filled in, is then . This simplifies to 498, which is the 100th term of that sequence.

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

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   How do you find the common difference in a sequence?

   • Find the common difference for the sequence. When you are presented with a list of numbers, you may be told that the list is an arithmetic sequence, or you may need to figure that out for yourself. The first step is the same in either case. Select the first two consecutive terms in the list. Subtract the first term from the second term.

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

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   What are arithmetic sequences without common differences?

   • Arithmetic Sequences without common differences are a unique yet essential tool in your mathematical toolkit. Their primary strength is predictability. Since each term is identical or the difference is almost negligible, these sequences make forecasting and planning much more straightforward.

   Arithmetic Sequence Without Common Difference | Learn ZOE

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3. 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 · Find the first term of a sequence. You may know that the 50th term of an arithmetic sequence is 300, and you know that the terms have been increasing by 7 (the “common difference”), but you want to find out what the first term of the sequence was. Use the revised explicit formula that solves for a1 to find your answer.

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4. www.learnzoe.com › blog › arithmetic-sequenceArithmetic Sequence Without Common Difference - Learn ZOE

   www.learnzoe.com › blog › arithmetic-sequence

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   In this formula, ‘an’ represents the nth term you’re trying to find. ‘a1’ is the first term in the sequence, ‘n’ is the term number you’re looking for, and ‘d’ is the common difference.

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

   www.mathway.com › Calculator › sequence-calculator

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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.

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7. socratic.org › questions › how-do-i-find-the-firstHow do I find the first term of an arithmetic sequence?

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   Oct 23, 2016 · Find the first term. In this task we have 2 terms given: a2 = 4 and a5 = 10. We can use the n −th term formula to build a system of equations: {a1 + d = 4 a1 + 4d = 10. If we subtract the first equation from the second we can calculate d: 3d = 6; d = 2.

8. www.storyofmathematics.com › how-to-find-the-firstHow to Find the First Term of an Arithmetic Sequence – A ...

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   Jan 22, 2024 · To identify the first term of an arithmetic sequence, we often use the nth term formula: a n = a 1 + (n − 1) d. Here, a n represents the nth term, a 1 is the first term, n is the term number, and d is the common difference.

9. www.bbc.co.uk › bitesize › guidesSequences - Sequences - AQA - GCSE Maths Revision - AQA - BBC

   www.bbc.co.uk › bitesize › guides

   The first term is 17, and the pattern is to subtract 3 each time, so the term to term rule is 'start at 17 and subtract 3'. The next two terms of the sequence are 5 and 2, giving the sequence...

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

    www.bbc.co.uk › bitesize › topics

    The 𝒏th term refers to a term's position in the sequence, for example, the first term has 𝒏 = 1, the second term has 𝒏 = 2 and so on. An expression for the 𝒏th term is worked out by looking...