SOLUTION: Calculate the 12^th Term of each of the sequence 1/3,1/6,1/12,1/24

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Question 1188610: Calculate the 12^th Term of each of the sequence 1/3,1/6,1/12,1/24
Answer by MathLover1(20850) About Me  (Show Source):
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In this example first term is a%5B1%5D=1%2F3+and common ratio is
r=%281%2F6%29%2F%281%2F3%29=3%2F6=1%2F2
r=%281%2F12%29%2F%281%2F6%29=6%2F12=1%2F2

so, we have geometric sequence
and the formula for nth term of a geometric progression is:
a%5Bn%5D=a%5B1%5D%2Ar%5E%28n-1%29
your formula is:
a%5Bn%5D=%281%2F3%29%2A%281%2F2%29%5E%28n-1%29


the 12th term is:
n=12


a%5B12%5D=%281%2F3%29%2A%281%2F2%29%5E%2812-1%29
a%5B12%5D=%281%2F3%29%2A%281%2F2%29%5E%2811%29

a%5B12%5D=1%2F6144