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I am given the times:

1:38, 2:44, 3:49, 4:55, ? , 7:05, 8:11, 9:16, 10:22, 11:27, 12:33

I am asked to find which time is missing and what the times signify? Thanks!

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  • $\begingroup$ It is, approximately, the times at when the minute hand of a clock is opposite the hour hand. But the one missing time is actually exact: 6:00 $\endgroup$
    – Bram28
    Commented Dec 10, 2019 at 3:54

1 Answer 1

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Looks like a pretty simple pattern, the missing time should just be 6:00.

For every time with an odd hour, add 1:06 to get the next term. For every time with an even hour, add 1:05 to get the next term!

$$h_n:m_n = h_{n-1}:m_{n-1} + \left\{\begin{array}{ll} \text{1:05 if }h_{n-1}\text{ is even} \\ \text{1:06 if }h_{n-1}\text{ is odd} \end{array}\right.$$

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