1. Find a formula for s,, n 2 1 for 1/2, -1/4, 1/6, -1/8, 1/10,.... 2. Does the sequence converge or diverge? If it converges, find its limits: a. b. sin(n) n C. (-1)" n 2" d. 3. Find a recursive definite for the sequence 1, 2, 3/2, 5/3, 8/5, 13/8,... 4. Is this a geometric series? If yes, explain why? Give the first term, the ratio and find the sum: 1 - 1/2 + 1/4 - 1/8 + 1/16 + .... 5. Mary invests $200 at the start of each month for 24 months, starting now. If the investment yields 0.5% per month, compounded monthly, what is its value at the end of 24 months? 6. Use integral to decide if the series converge: n-2 n (In(n) )2 7. Use comparison with fx 'dx to show that 1' converges to a number less than or equal to 1/2. 4 2n 8 8. Does the series converge or diverge: 2n 2n +1 14 + n2 ( 1 +n ? ) n+1 mos n2 + 2n+2 n2n