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YorbelHunter
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What is the next term in the sequence below?
1/2, 2/6, 3/18, 4/54, ____
 2 years ago
 2 years ago
YorbelHunter Group Title
What is the next term in the sequence below? 1/2, 2/6, 3/18, 4/54, ____
 2 years ago
 2 years ago

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YorbelHunter Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ 1 }{ 2 }, \frac{ 2 }{ 6 },\frac{ 3 }{ 18 },\frac{ 4 }{ 54 },\frac{ ? }{ ? }\]
 2 years ago

YorbelHunter Group TitleBest ResponseYou've already chosen the best response.0
1/2 + 1/3 + 1/6 + 1/9??
 2 years ago

LolWolf Group TitleBest ResponseYou've already chosen the best response.3
We note: \[ \frac{a_n}{b_n}=\frac{a_{n1}+1}{3b_{n1}} \]So: \[ \frac{5}{162} \]Is our next term.
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
Arithmetic Progression : try to check whether there is common difference or not ... \[\large{\frac{2}{6}\frac{1}{2} = \frac{23}{6}=\frac{1}{6}=d}\] \[\large{\frac{3}{18}\frac{2}{6}=\frac{36}{18}=\frac{3}{18}=\frac{1}{6}=d}\] hence the above sequence is of arithmetic progression
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
\[\large{\frac{4}{54}+\frac{1}{6}= \frac{49}{54}=\frac{5}{54}}\]
 2 years ago

LolWolf Group TitleBest ResponseYou've already chosen the best response.3
It's not an arithmetic series @mathslover , since: \[ \lim_{n\to\infty}\left(\frac{a_n}{b_n}\right)=0 \]
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
but it do have common difference...
 2 years ago

LolWolf Group TitleBest ResponseYou've already chosen the best response.3
For the first three terms, check: \[ \frac{4}{54}\frac{3}{18}\ne \frac{1}{6} \]
 2 years ago
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