Describe the following sequence in mathematical terms. 144, 72, 36, 18, 9
Descending arithmetic sequence
Ascending arithmetic sequence
Descending geometric sequence
Ascending geometric sequence
Miscellaneous sequence
I already know that the answer is Descending geometric sequence.
Why?
2007-03-08 10:54:11 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Well its an geometric sequence. It's mutlipled by 1/2 each time. It's descneding because each term is less than the previous one.
2007-03-08 10:56:42 · answer #1 · answered by Bob R. 6 · 0⤊ 0⤋
144/2 = 72, 72/2 = 36, 36/2 = 18, 18/2 = 9
There is a constant ratio between terms, so the sequence is geometric. the ratio is < 1, so it is descending
2007-03-08 19:07:46 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋
Arithmetic means that it is addition or subtraction in the order. Geometric means multiplication/division, and miscellaneous means no apparent order. This means that it is geometric, since it is dividing by 2, and descending b/c the numbers are going down.
2007-03-08 18:57:49 · answer #3 · answered by George 2 · 0⤊ 0⤋
Each term is DECREASED by a FACTOR of two.
In an arithmetic sequence, the DIFFERENCE is constant.
2007-03-08 18:58:39 · answer #4 · answered by novangelis 7 · 0⤊ 0⤋
it's descending because the terms are getting smaller by half of the previous term.
2007-03-08 18:57:25 · answer #5 · answered by 7 · 0⤊ 0⤋