Here is a mathematical series. Calculate the next number in the series:

18 23 28 34 42 50 59 66

First correct answer gets congratulations [I don't have any coffee mugs with my face on them.]

{Fortunately, when I reveal the answer, people will not be able to come after me and beat me with sticks.]

## Tuesday, May 15, 2012

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## 15 comments:

73?

nope. But close. I should have added, Explain your answer.

72. This is not math, it's logistics!

You can also google the sequence. I'm not going to give it away but the internet does provide quick answers. Bus routes for example. But if someone legitimately got it I don't want to take anything away either.

The next street on the bus line that you took as a kid to get to your violin lesson?

That would be 79, the Broadway line.

18 23 28 34 42 50 59 66

6x3-0, 6x4-1, 6x5-2

7x5-1, 7x6+0, 7x7+1

8x7+3, 8x8+2, 8x9+1

I get 73. Trios in which the first multiplicand remains constant, the second multiplicand goes up by one each time, and a figure is added that changes by one each time.

Now googling...

Bah humbug. Once upon a time I would have recognized that sequence, but there's no amount of staring at it tonight that would have gotten me there.

71?

subway stops on the Broadway IRT line in Manhattan

In terms of an explanation, I was following a pattern in ascending and descending order: 5,5,6,8,8,9,7,5 (1,2,1,2)?

GONG!!! Misleading question. There was nothing to calculate.

The full sequence is actually:

Find the next number in the sequence

"14, 18, 23, 28, 34, 42, 50, 59, 66, 72, 79, 86, 96, 103, �"

You can read the answer here on this link if you scroll down far enough, it comes with a great deal of extra information on different science and math topics as well.

http://www.patrickkellogg.com/school/papers/infotheory/

Technically, I think calling it a mathematical sequence or a mathematical puzzle is somewhat disingenuous. But it is good for a laugh.

According to this story there may be some mathematical structure there after all. http://science.slashdot.org/story/12/05/17/0134254/worlds-subways-share-common-mathematical-structure

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