Mathematics
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OpenStudy (anonymous):
Would this be considered a geometric sequence?
5, 30, 180, 1080...
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jimthompson5910 (jim_thompson5910):
5 * what number = 30
OpenStudy (anonymous):
6
jimthompson5910 (jim_thompson5910):
30 times what number = 180 ?
hartnn (hartnn):
by inspection, u can say its not an arithmetic series.
for geometric series, u need to check whether there is common ratio..
OpenStudy (anonymous):
60
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jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
60*30 is 1800 not 180
OpenStudy (anonymous):
lol sorry i meant 6
jimthompson5910 (jim_thompson5910):
and finally
180 times ____ = 1080
what goes in the blank
OpenStudy (anonymous):
6
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jimthompson5910 (jim_thompson5910):
you're multiplying each term by the same number 6 to get the next term
jimthompson5910 (jim_thompson5910):
so this is definitely a geometric sequence
jimthompson5910 (jim_thompson5910):
arithmetic: you add a constant term to each term to get the next term
geometric: you multiply a constant term with each term to get the next term
jimthompson5910 (jim_thompson5910):
ex:
1, 5, 9, 13, 17 is arithmetic because
1+4 = 5
5+4 = 9
9+4 = 13
13+4 = 17
jimthompson5910 (jim_thompson5910):
ex:
3, 6, 12, 24, 48 is geometric because
3*2 = 6
6*2 = 12
12*2 = 24
24*2 = 48