Suppose that the sequence a satisfies the recurrence an D an1 C 12an2 and that a0 D 6 and a5 D 4877. Find an expression for an.

College Algebra: Chapter R R.2 – Base and Positive Exponents Steps: 1) Start with the group of numbers you are given ex.) 2.7 x 10 2) Look at first main number ex.) 2.7 3) Move the decimal point as many spaces as the eponent expression says ex.) 2.7 x 10 = 2,700 *Hint: Positive Exponent = move to the Right Negative Exponent = move to the Left Examples: A) 1,000,000 (base 10) 1,000,000 = 10*10*10*10*10*10 = 106 3 B) 27 (base 3) 27 = 3*3*3 = 3 C) 32 (base 2) 32 = 2*2*2*2*2 = 2 ____________________________________________________________________________ R.2 – Integer Exponents Evaluating Expressions Properties: n 1. a = a*a*a… (n factors of ‘a’) 0 2. a = 1 (Note: 0 is undefined) -n ▯ ▯ n 3. a = ▯ or ▯▯ = a ▯▯ ▯ ▯ ▯ 4. ▯ = ▯ ▯▯▯ ▯▯ ▯ ▯▯ ▯ ▯▯ 5. ( ) = ( ) ▯ ▯ Examples: -4 ▯ ▯ a) 3 = ▯▯ =▯▯ ▯ ▯ b) ▯▯ = 2 = 2 ∗ 2 ∗ 2 = 8 ▯ ▯ ▯ ▯▯ ▯ ▯ ▯ ▯▯ c) (▯) = ( ▯ = ▯▯ = ▯▯ ▯ ▯ d) ▯▯ = () = xy (▯▯) ▯▯▯ ▯▯ ▯▯ e) ▯▯ = ▯ = ▯▯ ▯ ∗▯ ▯▯