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give me the explicit formula that produces the given sequence...\[\frac{ 3 }{ 2 }, \frac{ 3}{ 4 },\frac{ 3 }{ 8 },\frac{ 3 }{ 16 }\]
can u write the question ? i cant see it ... I see an error just :(
their fractions...
3/2,3/4,3/8,3/16
Is it your mean ? 32/10 , 34/10 , 38/10 , 316/100 ?
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ummm no, the fractions in the sequence are 3/2,3/4,3/8,3/16
its a geometric sequence
observe that each successive term is getting multiplied by 1/2
OK ! My means was are they your numbers ?
that means, \(r = 1/2\) first term \(a = 3/2\) then, we have the explicit formula for geometric sequence :- \(\large a_n = ar^{n-1}\)
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substitute, a and r values above
\(\large a_n = \frac{3}{2} (\frac{1}{2})^{n-1}\)
@ganeshie8 :Thank u friend :)
np :)
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