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  1. Feb 6, 2024 · After some testing I discovered that these numbers are being multiplied by their corresponding number in the sequence. For example: 1 x 2 = 2 2 x 3 = 6 6 x 4 = 24 24 x 5 = 120 Which would mean the next number in the sequence would be. 120 x 6 = 720 and so on and so forth.

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

    Free sequence calculator - step-by-step solutions to help identify the sequence and find the nth term of arithmetic and geometric sequence types.

  3. Find the free maths schemes and all related teaching resources for each of the year groups. View our Maths resources from White Rose Maths.

    • Sequence
    • Finding Missing Numbers
    • Many Rules
    • Simplest Rule
    • Finding Differences
    • Second Differences
    • Other Types of Sequences

    A Sequenceis a set of things (usually numbers) that are in order. Each number in the sequence is called a term (or sometimes "element" or "member"), read Sequences and Seriesfor a more in-depth discussion.

    To find a missing number, first find a Rulebehind the Sequence. Sometimes we can just look at the numbers and see a pattern: Did you see how we wrote that rule using "x" and "n" ? We can use a Rule to find any term. For example, the 25th term can be found by "plugging in" 25 wherever nis. x25 = 252= 625 How about another example: Now what does xn-1...

    One of the troubles with finding "the next number" in a sequence is that mathematics is so powerful we can find more than one Rule that works. So, we have three perfectly reasonable solutions, and they create totally different sequences. Which is right? They are all right.

    When in doubt choose the simplest rulethat makes sense, but also mention that there are other solutions.

    Sometimes it helps to find the differencesbetween each pair of numbers ... this can often reveal an underlying pattern. Here is a simple case: The differences are always 2, so we can guess that "2n" is part of the answer. Let us try 2n: The last row shows that we are always wrong by 5, so just add 5 and we are done: Rule: xn= 2n + 5 OK, we could ha...

    In the sequence {1, 2, 4, 7, 11, 16, 22, ...}we need to find the differences ... The second differencesin this case are 1. With second differences we multiply by n22 In our case the difference is 1, so let us try just n22: We are close, but seem to be drifting by 0.5, so let us try: n22 − n2 Wrong by 1 now, so let us add 1: We did it! The formula n...

    Read Sequences and Seriesto learn about: 1. Arithmetic Sequences 2. Geometric Sequences 3. Fibonacci Sequence 4. Triangular Sequence And there are also: 1. Prime Numbers 2. Factorial Numbers And many more! Visit the On-Line Encyclopedia of Integer Sequencesto be amazed. If there is a special sequence you would like covered here let me know.

  4. Free Sequences calculator - find sequence types, indices, sums and progressions step-by-step

  5. The sequence is a geometric sequence: 1, 2, 6, 24, 120, 720,... In general, the sequence can be expressed: or in words... The nth term is equal to the previous term multiplied by n. Let's check the 6th term (n=6): substitute Or the 4th term: Substitute

  6. Step 1. Nothing further can be done with this topic. Please check the expression entered or try another topic. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.