Understanding Arithmetic Sequences

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Arithmetic sequence definition

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where each term increases or decreases by a constant value

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fixed amount added or subtracted to get the next term

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General term formula

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latex="a_n = a_1 + (n-1)d">

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starting value of the sequence

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latex="S_n = \frac{n}{2}(a_1 + a_n)">

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Alternative sum formula

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latex="S_n = \frac{n}{2}[2a_1 + (n-1)d]">

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Real-life example: Saving money

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the same amount each month forms an arithmetic sequence

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Real-life example: Stairs

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step is equally spaced, forming an arithmetic sequence

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