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Mathematics
A Fibonacci-like sequence has the first two terms as 9 ^(-)-9 and 2 ^(-)2. Find the first 10 terms.
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Since the given sequence is Fibonacci-like, the third term is the sum of the first two terms. Similarly, each subsequent term is the sum of the two preceding terms.
a 1 = 9 a 2 = 2 a 3 = 9 + 2 = 7 a 4 = 2 + ( 7 ) = 5 a 5 = 7 + ( 5 ) = 12 a 6 = 5 + ( 12 ) = 17 a 7 = 12 + ( 17 ) = 29 a 8 = 17 + ( 29 ) = 46 a 9 = 29 + ( 46 ) = 75 a 10 = 46 + ( 75 ) = 121 {:[a_(1)=-9],[],[a_(2)=2],[],[a_(3)=-9+2=-7],[],[a_(4)=2+(-7)=-5],[],[a_(5)=-7+(-5)=-12],[],[a_(6)=-5+(-12)=-17],[],[a_(7)=-12+(-17)=-29],[],[a_(8)=-17+(-29)=-46],[],[a_(9)=-29+(-46)=-75],[],[a_(10)=-46+(-75)=-121],[]:}
So the first 10 terms of the sequence are 9 , 2 , 7 , 5 , 12 , 17 , 29 , 46 , 75 , 121 -9,2,-7,-5,-12,-17,-29,-46,-75,-121.
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