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Q: Which explains why the sequence 216 12 23 is arithmetic or geometric?

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No it is not.

216

64

216. That is because 125 is 5 cubed and 343 is 7 cubed, so 6 cubed is 216.

729

343.

Each number is 60 percent of the previous one.

The sequence is the cube of successive numbers starting at 1; 13 - 23 - 33 - 43 - 53 - 63 -...

tn = n3

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, ...

64

64 because it is basically cube each number in a row.

343, 512, 729, 1000, 1331, 1728, 2197

They are the cubes of the natural numbers, starting with 1.

125, 216 13 = 1; 23 = 8; 33 = 27; 43 = 64; 53 = 125; 63 = 216 The sequence is the numbers 1 to 6 cubed

216, 432, 864.... Just keep multiplying the number by 2.

1 8 27 64 125 216 343

2163 = 216 x 216 x 216 = 10077696

26031 (the pattern is 31 x 1 +3 = 34 ; 34 x 2 + 3 = 71; 71 x 3 +3 = 216; 216 x 4 +3 = 867; and so on)

216 = 216

Your sequence seems to be a cubed sequence, but you are missing 64 between 27 and 125.13 = 123 = 833 = 2743 = 6453 = 12563 = 216So, next would be 73, which equals 343.

The LCM is 216.

64 125 216 343 512 729Bold numbers are the missing in the sequence

LCM(8, 72, 216) = 216.

48% of 216= 48% * 216= 0.48 * 216= 103.68

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