Give the first six terms of the following sequences. You can assume that the sequences start with an index of 1.

(a) The nth term is n?.
(b) A geometric sequence in which the first value is 2 and the common ratio is 2.
(c) An arithmetic sequence in which the first value is 5 and the common difference is 3.
(d) In = [n/2] + [n/2]
(e) an = 21 + (-2)"
(f) The first term is 1 and the second term is

2. The rest of the terms are the sum of the two preceding terms. (g) 91 = 2 and 92 = 1. In = n. 9n-2 + 9n-1 for n > 3. (h) a = 1 and 22 = 3. an = an-1 - 7an-2 for n> 3.

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)