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18 January, 01:46

3. If x + 4, 2x+5, and 4x + 3 represent the first three terms of an arithmetic sequence, then find the

value of x. What is the fourth term?

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  1. 18 January, 04:10
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    first term = initial number

    second term = initial number + common difference

    third term = initial number + 2 (common difference)

    So ...

    2x+5 - (x+4) = common difference

    4x+3 - (2x+5) = also common difference

    2x+5 - (x+4) = x+1

    4x+3 - (2x+5) = 2x-2

    Because x+1=2x-2 we can solve for x.

    x=3

    So the sequence goes ... 7,11,15 ...

    19 is the fourth term
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