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

1 Answer
Alan P.
Jun 22, 2017

a_12=color(red)(192)

Explanation:

a_6=3=a_5xxr=a_5xx2
color(white)("XXX") rarr 3=a_5xx2
color(white)("XXX") rarr a_5=3/2

Similarly
color(white)("XXX")a_4=3/(2^2)
color(white)("XXX")a_3=3/(2^3)
color(white)("XXX")a_2=3/(2^4)
color(white)("XXX")a_1=3/(2^5)
color(white)("XXX")a_0=3/(2^6)

a_n=a_0xxr^n
color(white)("XXX")rarr a_12=3/(2^6)xx2^12
color(white)("XXXXXX")=3xx2^6
color(white)("XXXXXX")=2xx64
color(white)("XXXXXX")=192

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