2x X of t 6. The populations of Vicky Toon and Georgiatown were 5000 and 7000 respectively at the end of the year 2000. The population of Vickytoon then increased by 7% each year and Georgiatown's increased by 2% each year. If they continue to grow at the same rate, determine in what year the two towns will have the same population. 8. When dropped, an elastic ball bounces back up to a height of three quarters of that from which it fell. If the ball is dropped initially from a height of 2m and allowed to bounce up and down indefinitely, what is the total distance it ravels before coming to rest? 9. a) Determine the sum of the first 50 positive integers b) Show that the sum of n positive integers, starting at 1 is given by the formula > k = n'tn 2 10. How many terms are required for the series 6+12+24 to have a sum of 378? 11. Write the following sequence in sigma notation: 1 -4+9-16 + 25-36 + 49. 11 11 12. Determine S, given the series: 45 - 56 + 67 - 78 + 89 - 100 + ... - 342