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20 March, 11:29

What number would complete the pattern? 107 98 90 83 77 68 65

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  1. 20 March, 11:48
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    The numbers are part of an arithmetic progression, where the difference between each succeeding number is reduced by 1 each time. Between 107 and 98, the difference is 9. Between 98 and 90, the difference is 8, and so on. This is shown below:

    107 - 98 = 9

    98 - 90 = 8

    90 - 83 = 7

    83 - 77 = 6

    77 - x = 5

    x - 68 = 4

    68 - 65 = 3

    From that, we can solve for x using either of the equations:

    77 - x = 5

    x = 77 - 5

    x = 72

    Therefore 72 would complete the pattern.
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