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Senior one mathematics series (online constant speed bonus)
(b 1/a 1)+(B2/a2)+(B3/a3)+......+(bn/an)=2n+ 1

(b 1/a 1)+(B2/a2)+(B3/a3)+......+(bn- 1/an- 1)= 2n- 1,n≥2

Subtract two expressions to get.

bn/an=2,n≥2

∴bn=2*3^(n- 1),n≥2

b 1=3*a 1=3

∴bn={3,n= 1;

2*3^(n- 1),n≥2

(2)b2=6

b 1+b2+...+b2007=3+6*(3^2006- 1)/(3- 1)

=3^2007