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anonymous
 one year ago
Write a formula for the general term (the nth term) of the geometric sequence. 1/2 1/10 1/50 1/250
anonymous
 one year ago
Write a formula for the general term (the nth term) of the geometric sequence. 1/2 1/10 1/50 1/250

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A. an = 1/2(n1)3/5 B. an = 1/2  1/5(n1) C. an = (1/2)(1/5)(n1) D. an = (1/5)(1/2)(n1)

phi
 one year ago
Best ResponseYou've already chosen the best response.1any idea how to "get" from 1/2 to 1/10 ? what do you multiply 1/2 by to get 1/10 ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1right track. but you can do better \[ \frac{1}{2} \cdot x = \frac{1}{10} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1if you multiply by 5 you get \[ \frac{5}{2} \] not what we want

phi
 one year ago
Best ResponseYou've already chosen the best response.1if you can't see it, try multiplying both sides by 2 and "solve for x" 1/5 is pretty good, but not quite \[ \frac{1}{2} \cdot \frac{1}{5}= \frac{1}{10} \] but we want \[  \frac{1}{10} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1ok, and to make sure take the 2nd term in the series 1/10 and multiply by 1/5 what do we get ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1multiply top times top and bottom times bottom

phi
 one year ago
Best ResponseYou've already chosen the best response.1and if we multiply 1/50 by 1/5 we get 1/250 notice we are getting the original series 1/2 1/10 1/50 1/250

phi
 one year ago
Best ResponseYou've already chosen the best response.1here is what we know \[ \frac{1}{2} \\ \frac{1}{2}\left(\frac{1}{5}\right)^1 \\ \frac{1}{2}\left(\frac{1}{5}\right)^2 \] and so on

phi
 one year ago
Best ResponseYou've already chosen the best response.1if we label the first term as "term number 1" and the 2nd 2 and then 3 etc notice each term has 1/2 times (1/5) to a power one less than the term's number

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes that makes sence

phi
 one year ago
Best ResponseYou've already chosen the best response.1only one of the choices is "shorthand" for that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah thnx again freind
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