Oh honey, that's not a recursive pattern, that's just a sequence of numbers increasing by 10 each time. It's like counting by tens but starting at 1 instead of 10. So, no recursion here, just some basic addition.
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Yes, the sequence 1, 11, 31, 71, 151 can be considered a recursive pattern. In this sequence, each number is obtained by adding the previous number multiplied by 3 and then adding 2. This recursive formula can be expressed as: ( a_n = 3a_{n-1} + 2 ), where ( a_1 = 1 ) is the first term in the sequence.
Oh, dude, let me break it down for you. So, a recursive pattern is like when each term is found by performing a specific operation on the previous term. In this case, you're adding 10, then 20, then 40, then 80... you get the idea. So yeah, technically speaking, 1, 11, 31, 71, 151 fits that bill. But hey, who's really keeping track, right?