a music producer is making a list of vocalists needed to record an album. for each day of recording, a different number of vocalists are needed. the first day, seven vocalists are needed. each day after that, the number of vocalists needed doubles. the producer must pay by the day for each vocalist. to find the total price, the producer needs to know how many vocalists sang in total at the end of the 10th day. use a series to find the sum after the 10th day.
7,168
7,161
3,584
3,577
question 2(multiple choice worth 3 points)
(03.07 mc)
given the formula for an arithmetic sequence f(9) = f(8) + 5 written using a recursive formula, write the sequence using an arithmetic formula.
f(9) = f(1) + 5
f(9) = f(1) + 30
f(9) = f(1) + 35
f(9) = f(1) + 40
question 3(multiple choice worth 3 points)
(03.07 mc)
monique deposited her money in the bank to collect interest. the first month, she had $250 in her account. after the sixth month, she had $289.82 in her account. use sequence notation to represent the geometric function.
an = 250 ⋅ (0.16)n−1
an = 250 ⋅ (1.03)n−1
an = 289.82 ⋅ (1.03)n−1
an = 289.82 ⋅ (1.16)n−1
question 4(multiple choice worth 3 points)
(03.07 lc)
represent the arithmetic series using the recursive formula.
94, 87, 80, 73, …
f(n) = f(1) + (7)
f(n) = f(1) + (−7)
f(n) = f(n − 1) + (7)
f(n) = f(n − 1) + (−7)
question 5(multiple choice worth 3 points)
(03.07 lc)
represent the geometric series using the explicit formula.
3, −6, 12, −24, …
f(n) = 3 ⋅ (2)(n−1)
f(n) = 3 ⋅ (−2)(n−1)
f(n) = f(n − 1) ⋅ (2)
f(n) = f(n − 1) ⋅ (−2)
question 6(multiple choice worth 3 points)
(03.07 mc)
monica measures the number of bacteria that are living on her petri dish. each day, she measures the amount of change in the number of bacteria. these amounts create a geometric sequence. use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day.
day amount of change in
bacteria
1 2
2 −8
3 32
4 −128
−6553.2
−10.8
6554
11.6
question 7(multiple choice worth 3 points)
(03.07 lc)
solve the summation from n equals 2 to 8 of negative 2 plus 5 times n.
92
146
161
164
question 8(multiple choice worth 3 points)
(03.07 lc)
find the sum of the first five terms of the geometric series 8, −24, 72, …
484
488
648
684
question 9(multiple choice worth 3 points)
(03.07 mc)
use sigma notation to represent the sum of the first six terms of the following sequence: 4, 12, 20, …
the summation from n equals 1 to 6 of negative 4 plus 8 times n
the summation from n equals 1 to 6 of 4 plus 8 times n
the summation from n equals 1 to 6 of negative 1 plus 8 times n
the summation from n equals 1 to 6 of 1 plus 8 times n
question 10(multiple choice worth 3 points)
(03.07 mc)
max is stacking logs at his campground for firewood. after his first load of logs, he has 9 logs on the stack. after his seventh load of logs, he has 51 logs on the stack. use sequence notation to represent the arithmetic function.
an = 51 + 6(n − 1)
an = 9 + 6(n − 1)
an = 51 + 7(n − 1)
an = 9 + 7(n− 1)