Plz answer all the questions 1-6 clearly. And it would be better if u could type them out. Thanks!

1. a) Provide an example of a discrete function in words b) Provide an example of a continuous function in words c) Provide an example of a graph of a discrete function d) Provide an example of a graph of a continuous function e) Provide an example of a discrete function in some other representation (i.e. not words or graph) f) Provide an example of a continuous function in some other representation (i.e. not words or graph) [6 marks] 2. Let t, be the number corresponding to your birth month and let to be the number corresponding to the day of the month you were born (e.g. if your birthday is August 18 then , = 8 and to = 18) a) If t, and to are the first two terms of an arithmetic sequence, determine ts. [2 marks] b) If t, and to are the first two terms of a geometric sequence, determine ts. [2 marks] c) If t, and to are the first two terms of a sequence defined by the recursive formula to = to, + tn-2. determine ts [2 marks] 3. Mr. Tang gets very annoyed when he sees questions presented such as the one below: 'Three consecutive terms of a sequence are 6, 8, 10. Find the next three terms." There is not enough information to be able to answer this question. If you type 6, 8, 10 into the Online Encyclopedia of Integer Sequences, it will return over 2100 results of interesting sequences that have 6, 8, 10 as consecutive numbers. How can the wording of the question be fixed so that there is only one correct answer which is in alignment with one of the topics presented in this unit? Hint: the question can be fixed by adding just one word to it. [1 mark] 4. Draw Pascal's Triangle up to the 5th row and use it to help you expand (x + 2)^4 [3 marks] 5. On the first Sunday, you run 12.2 kilometers. On the next Sunday, you run 15.5 kilometers. On the third Sunday, you run 18.2 kilometers. You continue with this pattern of running every Sunday such that on any given Sunday you run 3.0 kilometers more than you did the previous Sunday. You continue with this pattern until you finally run a full marathon (42.2 km) on a single Sunday. a. For how many Sundays will you run? [2 marks] b. How many kilometers will you have run in total? [2 marks] 6. You deposit $100 into an account at the end of each month. You do this for 30 years and the account earns interest at 3% per year compounded monthly.T a. How much will be in the account at the end of 30 years? [3 marks] b. How much interest was earned in total? [1 mark]