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7 June, 01:54

What is the equation of an arithmetic sequence with a first term of 6 and a second term of 2?

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  1. 7 June, 04:06
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    The equation of the sequence = 10 - 4n

    Step-by-step explanation:

    The rule of the arithmetic sequence is Tn = a + (n - 1) d

    Where a is the first term, d is the difference between each consecutive terms and n is the position of the number in the sequence

    ∵ First term = 6

    ∵ Second term = 2

    ∴ The difference between the second and the first = 2 - 6 = - 4

    ∴ Tn = 6 + (n - 1) (-4) = 6 - 4n + 4 = 10 - 4n

    ∴ The equation of the sequence = 10 - 4n
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