9 27 2. 2, 3.5 4 10 510 3. 1, 0.1, 0.01, 0.001....; ag. Sy 1 11 4. -1, 2' 4' 8' . ....; a, term, S, 5. V3, 3, 3V3,...; ag term, S D. Using the compound interest formula presented in example 4, find the final amount for each given principal amount, interest rate, and time. Note that compounded annually is ge k = 1, compounded semi-annually is k = 2, and compounded quarterly is k = 4. pri yo 1. P = 5 000; 5% compounded annually in 5 years 2. P = 12 000; 2% compounded quarterly in 4 years 3. P= 15 000; 3.5% compounded semi-annually in 6 years 4. P = 10 000; 1.5% compounded quarterly in 4.5 years 5. P = 75 000; 6% compounded semi-annually in 9 years E. Determine the sum of each infinite geometric sequence. 9 1. 18, 9,." 2 4. -2, 4, -8, 16,... 3 2. 12, 3, -,.. 9 9 9 4 5. 18, 2 8 32 3. 15, 1.5, 0.15,... 32 Math for Innovative Minds 10B. Find what is asked. 1. geometric mean between 2 and 18 F. Re 1 . 2. geometric mean between - and - 2 8 3 81 3. 2 geometric means between - and 128 4. 2 geometric means between 1 and 0,001 5. 3 geometric means between 4 and 16 C. For each given geometric progression, find the formula for the nth term and the wah of the indicated term. Also, find the indicated sum. 1. -3, 9, -27, 81, ... agi Sg 9 27 2. 2, 3 40 0 510 3. 1, 0.1, 0.01, 0.001,...; ag, S 4 -1 11 2' '8 a, term, S, 5. V3, 3, 3 3,...; ag term, S D. Using the compound interest formula presented in example 4, find the final amount each given principal amount, interest rate, and time. Note that compounded annual k = 1, compounded semi-annually is k = 2, and compounded quarterly is k = 4 1. P = 5 000; 5% compounded annually in 5 yearfor additional discussio and activities on this to Math Empowerment A. Identify each sequence as arithmetic, geometric, or neither. If the sequence is arithmetic, write the common difference and the next two terms. If the seque geometric, write the common ratio and the next two terms. 1 11 1 1. -7, -3, 1, 5,... 4. 1, 2 3 4 5 1 3 45 1 11 1 2 . 2 5. 3' 4'5'6 16 8 4 2 7. .. 3. 1.1, (1.1), (1.1)3, (1.1)4 ... Sequences and Polynomial Functions