This isn't a problem from the SATs, but I need your help anyways!!!

<p>What is the next number in the sequence? Why?
1, 11, 21, 1211, 1112211, 312211, 131122221, ____________</p>

<p>and</p>

<p>For all the integers betweeen 0 and 9 inclusive, find any nonprime 6n+5.</p>

<p>Thanks for the help!</p>

<p>When n=5,
6(5) + 5= 35, which is not prime</p>

<p>That’s the only solution.</p>

<p>Interesting sequence… I’ll have to think about that one.</p>

<p>I don’t think that’s the right sequence. Do you mean:</p>

<p>1, 11, 21, 1211, 111221, 312211, 13112221, …?</p>

<p>Coz then the answer is 1113213211</p>

<p>^cna you explain your answer?</p>

<p>It is not a mathematical sequence.</p>

<p>1 (one one) - there is a single 1 (one one), so the next number is 11
11 (two ones) - there are 2 1s (two ones), so the next number is 21
21 (one two, one one)
1211 (one one, one two, two ones)
111221 (three ones, two twos, one ones)
312211 (one three, one one, two twos, two ones)
13112221 (one one, one three, two ones, three twos, one one)
1113213211 (three ones, one three, one two, one one, one three, one two, two ones)
31131211131221</p>

<p>I was looking for something like that but I didn’t think to break it up into words like that. That’s cool.</p>

<p>That last mathematical sequence is very interesting…</p>