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Mathematics 18 Online
OpenStudy (mellamokatie):

Determine whether each sequence is arithmetic or geometric. Find the next three terms. 81, 27, 9, 3, ... A. arithmetic, 0, -3, -6 B. geometric, 0, -3, -6 C. geometric, 1, 1/3, 1/9 D. The sequence is neither geometric nor arithmetic.

OpenStudy (mellamokatie):

@Freeboy15

rishavraj (rishavraj):

see to be an arithmetics series it must satisfy 3 - 9 = 9 - 27 = 27 - 81 bt thts not true bt if u see then 3/9 = 9/27 = 27/81 ...

OpenStudy (mellamokatie):

What??

rishavraj (rishavraj):

do u know whts arithmetic series is and what geometric one is ???

OpenStudy (mellamokatie):

no omg .-.

OpenStudy (jtvatsim):

Can you see any pattern in the numbers? How might you get from 81 -> 27 and then from 27 -> 9?

OpenStudy (jtvatsim):

As a hint: In a "geometric sequence" the pattern is either MULTIPLICATION or DIVISION. In a "arithmetic sequence" the pattern is either ADDITION or SUBTRACTION.

OpenStudy (mellamokatie):

Omg can I not get hinds and links and just the answer??

rishavraj (rishavraj):

nope sorry

OpenStudy (mellamokatie):

Wow cool I've been on the same question for like 8 hours thanks so much for the help

OpenStudy (mellamokatie):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

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jimthompson5910 (jim_thompson5910):

|dw:1463714618397:dw|

OpenStudy (mellamokatie):

Oh okay

jimthompson5910 (jim_thompson5910):

|dw:1463714650204:dw|

jimthompson5910 (jim_thompson5910):

divide any term by its previous term if you get the same result each time, then you have a geometric sequence

jimthompson5910 (jim_thompson5910):

you'll also use the idea next term = (common ratio)*(previous term)

OpenStudy (mellamokatie):

wait so I divide 9 by 27?

jimthompson5910 (jim_thompson5910):

yes I already showed that in the second drawing

OpenStudy (mellamokatie):

So .3333....

jimthompson5910 (jim_thompson5910):

or 1/3

OpenStudy (mellamokatie):

Oh okay so C?

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (mellamokatie):

Thanks so much!

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