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Stop! Puzzle Time!

Time for a little bit of fun. :) Since these were shared with me, I'm sharing them onward!

1) What is the next in the sequence, and why?

1, 3, 7, 12, 18, 26, 35, 45, 56, 69, ____

2) What is the next in the sequence, and why?

1, 11, 21, 1211, 111221, 312211, 13112221, ____

3) Try to find a sentence using exactly four a's, three c's, three d's, thirty-two e's, eight f's, four g's, seven h's, twelve i's, three l's, nineteen n's, nine o's, one p, one q, nine r's, twenty-four s's, eighteen t's, five u's, seven v's, five w's, two x's, and five y's.

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stormfeather
Jun. 24th, 2010 01:05 pm (UTC)
*applause*

Damn, those went quicker than I expected!
scifantasy
Jun. 24th, 2010 01:08 pm (UTC)
Well, 2 and 3 seemed very familiar--it wasn't "oh, I remember this puzzle, I know the answer," but it was more like "OK, I think there's a trick in 3--what else can it be? Of course" and "2...haven't I seen this before? Don't remember. One, then two ones--wait, that next one is 'two one'..."

As to 1, I'd determined the addition pattern easily enough, and I was just saying to myself "why are three, seven, and twelve skipped--wait, three, seven, and twelve? Of course."