Understanding Arithmetic Sequences

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Arithmetic sequence

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with constant difference between terms

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added to each term 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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value of the sequence

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Finding the 10th term

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latex="a_{10} = a_1 + 9d">

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latex="a_5 = 4 + (5-1)(-2) = -4">

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latex="d = 5">

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

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