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anonymous
 5 years ago
Find the indicated nth term of the geometric sequence.
6th term:
a[5]=3/256, a[8]=3/16,384
anonymous
 5 years ago
Find the indicated nth term of the geometric sequence. 6th term: a[5]=3/256, a[8]=3/16,384

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Does a[5] mean that it is the 5th term?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Assuming that a[5] means the 5th term, I am going to make it the 1st term and a[8] the 4th term. going by the Geometric Sequence formula a[n]=a1]*r^(n1) , where r is the common ratio, then a[4]=a[1]*r*(41) 3/16/384=3/256*r^3 Multiplying both sides by 256/3, the result is 1/64=r^3 Now finding the cubic root on both side , the result is r=1/4. to find the sixth term (or in this case the second term) using the formula again a[6] equivalent to a[2]=a[1]*(1/4)^(21) a[6] =(3/256)*(1/4)=3/1024

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok thank you! this makes perfect sense!
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