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30 April, 02:15

Here are the first five terms of an arithmetic sequence. 4 9 14 19 24 Find, in terms of n, an expression for the nth term of this sequence

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  1. 30 April, 03:38
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    The nth term can be represented by;

    Tn = 5n - 1

    Step-by-step explanation:

    In this question, we are concerned with finding an expression in terms of n for then the term of the sequence.

    Mathematically, the nth term of a sequence Tn can be represented by the formula;

    Tn = a + (n-1) d

    where a is the first term in the sequence which is 4, and d is the common difference which is the difference between 2 consecutive terms which is 9-4 = 5

    our n is n, since we do not know the number of terms we are finding for

    Plugging these values, we have;

    Tn = 4 + (n-1) 5

    Tn = 4 + 5n - 5

    Tn = 5n - 1
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