What is a geometric sequence?

Answer 1

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)

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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

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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, ...