Math 105/85 8.1

Evaluate the sum. [ (12-K+1) K = 2 [ (12 - K + 1) = [ K = 2 Write sigma notation. 11+22+33 + 44 +55 + ... 00 11+22+33+44 +55 + ...= > K = 1 (Simplify your answer.) Find the first 4 terms of the recursively defined sequence. a1 = 3, a2 =4, an + 1 = an + an - 1 a3 = Find the first 4 terms of the recursively defined sequence. a1 =7, an+1 =1+ an a2 = (Simplify your answer. Type an integer, a fraction or a mixed number.) Suppose that $9000 is invested at 8% interest, compounded annually. The value of the investment after n years is given by the sequence model, a, = $9000(1.08)". a) Find the first five terms of the sequence. b) Find the amount of the investment after 10 years. What are the first five terms? A. 9001.08, 9002.16, 9003.24, 9004.32, 9005.40 &B. 9720.00, 10497.60, 11337.41, 12244.40, 13223.95 O C. 9001.08, 9720.00, 10497.60, 11337.41, 12244.40 What is the amount of the investment after 10 years? s (Round to the nearest cent. Do not round interim calculations.)