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anonymous
 one year ago
Find the first 5 terms of the sequence: a1 = 2, an = 3an1
anonymous
 one year ago
Find the first 5 terms of the sequence: a1 = 2, an = 3an1

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439407483757:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No its a1 = 2, an = 3an1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(a_1=2\) and \(a_n=3a_{n1}\), more likely. You know the first term (\(n=1\)), so you can find the second term (\(n=2\)). \[a_2=3a_1=3(2)=6\] Because you know the second term, you can easily find the third (\(n=3\)): \[a_3=3a_2=3(6)=18\] See the pattern? In general, you can find a closed form for the \(n\)th term. (A variety of methods exists, but basic pattern recognition is easy enough for this recurrence relation.) Each successive term is being multiplied by \(3\). In fact, \[a_1=2=(3)^0(2)\\ a_2=6=(3)^1(2)\\ a_3=18=(3)^2(2)\] Judging by this, it looks like the \(n\)th term is given by \(a_n=2(3)^n\). What do you get for \(n=5\)?
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