Mathematics
nenelyons6
30

please answer these as best as possible: 1. The first term of a geometric sequence is 0.5 and the common ratio is 5. Find the 15th term. 2. The first term of a geometric sequence is -10,000 and the common ratio is -1/2. Find the 6th term. 3. The first term of a geometric sequence is 3/4 and the common ratio is 4. Find the 8th term.

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(1) Answers
Bao873

geometeric sequence an=a1(r^(n-1)) r=common ratio a1=first term an=nth term 1. a1=0.5 r=0.5 a15=0.5(5^(15-1)) a15=0.5(5^14) a15=3,051,757,812.5 2. a1=-10000 r=-1/2 a6=-10000(-1/2)^(6-1) a6=-10000(-1/2)^(5) a6=-10000(-1/32) a6=312.5 3. a1=3/4 r=4 a6=(3/4)(4)^(8-1) a6=(3/4)(4)^(7) a6=12288

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