The sequence 216 12 23 is neither arithmetic nor geometric.
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343.
64 125 216 343 512 729Bold numbers are the missing in the sequence
In simpler terms, a geometric sequence is a sequence in which some constant (same) number multiplies every-time to give u the next number in the sequence. 2, 4, 6, 8, 10, 12 - The constant is 2 (E.g. 2 x 2 = 4) 6, 36, 216, 1296, 7776 - The constant is 6 (E.g. 6 x 6 = 36) ------------------------------------------------------------------------------------------------------------------ To figure out the constant number we just divide one number in the sequence by the one next to it on the left. E.g. 36/6 = 6 ++++ That first example, starting at 2 with a constant=2, is arithmetical not geometrical because it simply adds 2 each time. If the constant is a multiplier the series is 2, 4, 8, 16, 32, 64, ...
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Kayla counted by a common difference of -18 in her multiple tower sequence. This means she subtracted 18 from each number to get the next number in the sequence. The pattern can be expressed as 216, 198, 180, 162, 144.