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標題:
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sequence problem
發問:
what is the pattern for the following sequence: 6, 12, 24, 48 please explain in details how you get the answer!! thank you
最佳解答:
T(1)=6 T(2)=6x2 =2T(1) T(3)=24=12x2=2T(2)=(2^2)T(1) T(4)=48=2x24=2T(3)=(2^2)T(2)=(2^3)T(1) so the pattern is T(n) = 2^(n-1) *6 =2^n x3
其他解答:
This is a G. S., that is a, ar, ar^2 , ar^3,...... ar^(n-1). T(2)/T(1) = ar/a = r = 12/6 = 2. rT(1) = T(2) 2a = 12 a = 6. so T(n) = [6(2^(n-1)] = 3(2^n).
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