(a) Use the given sequence to answer the following questions. Answer all THREE parts.
−
1
,

4
,

9
,

14
,

…
−1, 4, 9, 14, …
Part A
What is the recursive formula?

A
an=an−1+5a1=−1 a
n

=a
n−1

+5
a
1

=−1


B
an=an−1−1a1=−1a
n

=a
n−1

−1
a
1

=−1


C
an=an−1+5a1=5a
n

=a
n−1

+5
a
1

=5


D
an=an−1−1a1=5a
n

=a
n−1

−1
a
1

=5


(b)

Part B
What is the explicit formula?

A
an=−1+5(n−1)a
n

=−1+5(n−1)
B
an=−1+5na
n

=−1+5n
C
an=5−1(n−1)a
n

=5−1(n−1)
D
an=5−1na
n

=5−1n
(c)



Part C
What is the 10th term in the sequence?

To complete your spring schedule, you must add calculus and physics. at 9: 30, there are three calculus sections and two physics sections; while at 11: 30, there are two calculus sections and three physics sections. how many ways can you complete your schedule if your only open periods are 9: 30 and 11: 30?

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.