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.
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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3) Why should I? You already did.
2 out of 3. :)
Edited at 2010-06-24 01:03 pm (UTC)
Damn, those went quicker than I expected!
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."
Yeah, as I made myself read through the entire thing, I was thinking, "Damn, that's far too demanding. So what's the short-cut?"
Second a: "exactly"
Third a: "four a's"
Fourth a: "and five y's"
Well my first order answer for the first one is "83", because the sequence is incrementing by a number that increments by either 2 or 1 each step, and _that_ pattern seems to be following a pattern where the number of 1's between each 2 increases by one with each cycle. And after 83 should be 98, 114, 131 and 150.
However that's probably not actually the correct pattern :)
"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." Also, 19 apostrophes, 48 spaces, 20 commas, and one period :)
1113213211, if i'm counting right at least.
Perhaps i should go back and look at the first one again now :)