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Mathematics 10 Online
OpenStudy (anonymous):

Heeeelp

OpenStudy (anonymous):

give me the explicit formula that produces the given sequence...\[\frac{ 3 }{ 2 }, \frac{ 3}{ 4 },\frac{ 3 }{ 8 },\frac{ 3 }{ 16 }\]

OpenStudy (anonymous):

can u write the question ? i cant see it ... I see an error just :(

OpenStudy (anonymous):

their fractions...

OpenStudy (anonymous):

3/2,3/4,3/8,3/16

OpenStudy (anonymous):

Is it your mean ? 32/10 , 34/10 , 38/10 , 316/100 ?

OpenStudy (anonymous):

ummm no, the fractions in the sequence are 3/2,3/4,3/8,3/16

ganeshie8 (ganeshie8):

its a geometric sequence

ganeshie8 (ganeshie8):

observe that each successive term is getting multiplied by 1/2

OpenStudy (anonymous):

OK ! My means was are they your numbers ?

ganeshie8 (ganeshie8):

that means, \(r = 1/2\) first term \(a = 3/2\) then, we have the explicit formula for geometric sequence :- \(\large a_n = ar^{n-1}\)

ganeshie8 (ganeshie8):

substitute, a and r values above

ganeshie8 (ganeshie8):

\(\large a_n = \frac{3}{2} (\frac{1}{2})^{n-1}\)

OpenStudy (anonymous):

@ganeshie8 :Thank u friend :)

ganeshie8 (ganeshie8):

np :)

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