How do you find the indicated term of the geometric sequence where $a_{6} = 3$ $a_6=3$ , r=2, n=12?

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How do you find the indicated term of the geometric sequence where $a_{6} = 3$ $a_6=3$ , r=2, n=12?

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Answer 1 · 2017-06-22T11:11:16

$a_{12} = 192$ $a_12=color(red)(192)$

Explanation:

$a_{6} = 3 = a_{5} \times r = a_{5} \times 2$ $a_6=3=a_5xxr=a_5xx2$
$XXX \to 3 = a_{5} \times 2$ $color(white)("XXX") rarr 3=a_5xx2$
$XXX \to a_{5} = \frac{3}{2}$ $color(white)("XXX") rarr a_5=3/2$

Similarly
$XXX a_{4} = \frac{3}{2^{2}}$ $color(white)("XXX")a_4=3/(2^2)$
$XXX a_{3} = \frac{3}{2^{3}}$ $color(white)("XXX")a_3=3/(2^3)$
$XXX a_{2} = \frac{3}{2^{4}}$ $color(white)("XXX")a_2=3/(2^4)$
$XXX a_{1} = \frac{3}{2^{5}}$ $color(white)("XXX")a_1=3/(2^5)$
$XXX a_{0} = \frac{3}{2^{6}}$ $color(white)("XXX")a_0=3/(2^6)$

$a_{n} = a_{0} \times r^{n}$ $a_n=a_0xxr^n$
$XXX \to a_{12} = \frac{3}{2^{6}} \times 2^{12}$ $color(white)("XXX")rarr a_12=3/(2^6)xx2^12$
$XXXXXX = 3 \times 2^{6}$ $color(white)("XXXXXX")=3xx2^6$
$XXXXXX = 2 \times 64$ $color(white)("XXXXXX")=2xx64$
$XXXXXX = 192$ $color(white)("XXXXXX")=192$

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How do you find the indicated term of the geometric sequence where $a_{6} = 3$ $a_6=3$ , r=2, n=12?

1 Answer

Explanation:

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How do you find the indicated term of the geometric sequence where a_6=3a6=3a_6=3, r=2, n=12?

1 Answer

Explanation:

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How do you find the indicated term of the geometric sequence where $a_{6} = 3$ $a_6=3$ , r=2, n=12?