SOLUTION: what is the next number in the sequence? 8, -20, 6 2/3

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Question 706009: what is the next number in the sequence?
8, -20, 6 2/3
Answer by Edwin Parker(36)   (Show Source): You can put this solution on YOUR website!
8, -20, 6 2/3

General term:

an = 2(41x²-165x+136)/3

a1 = 2(41·1²-165·1+136)/3 = 2(41-165+136)/3 = 2(12)/3 = 8

a2 = 2(41·2²-165·2+136)/3 = 2(41·4-330+136)/3 = 2(164-330+136)/3 = 2(-30)/3 = -60/3 = -20

a3 = 2(41·3²-165·3+136)/3 = 2(41·9-495+136)/3 = 2(369-495+136)/3 = 2(10)/3 = 20/3 = 6 2/3

a4 = 2(41·4²-165·4+136)/3 = 2(41·16-660+136)/4 = 2(656-660+136)/4 = 2(132)/3 = 264/3 = 88

Edwin
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