3. The ordered pairs, (1, 3), (3, 6), (5, 9) show the cost of theater tickets. For 1 person, thecost of a ticket is $3, the cost for 3 people is $6 and the cost for 5 people is $9. Which formula,explicit or recursive, would be best to use if you wanted to know the ticket price for 9 people?4. Use the table to graph the values.Which type of function does the table and graph show?Are the output values geometric? Why or why not?

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Answered: 3. The ordered pairs, (1, 3), (3, 6),…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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There is another surprising way of characterizing the ged. For two numbers a and b, we think about all the numbers you can get by adding multiples of a and b together. We can imaging this by thinking of a and b as dollar values of bills and then asking what prices can paid with them. For example, if your country only issues a 6 dollar bill and a 14 dollar bill, can you buy something that costs 10 dollars? Yes - you pay with two 14 dollar bills and get three 6 dollar bills back in change. Can you buy something that costs 15 dollars? No - all the bills are worth an even number of dollars so there is no way to get an odd net transaction. Formulated more abstractly: Let S(a, b) = {na + mb : n, m e Z}. Problem 0.1. If c is a common divisor of a and b then c|s for all s E S(a,b) Problem 0.2. If s e S(a, b) then gcd(a, b)|s. Problem 0.3. If s e S(a, b) then sx e S(a, b) for all a € Z Problem 0.4. If S(a, b) = Z if and only if 1 E S %3D Problem 0.5. The set S(0,0) is {0}. For any other a and b…
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3. 1,-6, 36,-216, .. a. = (-6)" geometric, a =-7776, a. %3D 1296, a, = (-6)"-1 , = (-6)"- b. geometric, a, n-1 С. arithmetic, a , =-7776, a %3D d. arithmetic, a, = 1296, a, = (-6)"

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3. The ordered pairs, (1, 3), (3, 6), (5, 9) show the cost of theater tickets. For 1 person, the cost of a ticket is $3, the cost for 3 people is $6 and the cost for 5 people is $9. Which formula, explicit or recursive, would be best to use if you wanted to know the ticket price for 9 people?