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5 January, 14:58

A student uses the explicit formula an = 5+3 (n-1) for the sequence 3,8,13,18,23, ... to find the 12th term. Explain the error the student made.

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  1. 5 January, 18:19
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    Formula should be an = 3 + 5 (n - 1)

    The 12th term = 3 + 5 (12 - 1) = 58

    Step-by-step explanation:

    Let's find the value of the first term using the given formula:-

    n = 1 is plugged into the formula:-

    a1 = 5 + 3 (1 - 1)

    = 5 + 3 (0)

    = 5

    This gives the wrong value (it is 3) so the formula is incorrect.

    If we study the sequence we see that the common difference is 8-3 = 13 - 8 = 5 and the first term is 3.

    The student has confused the first term with the common difference

    The correct formula is an = 3 + 5 (n - 1)
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