Question

giving medals out if you check my work

Answer 1

Question 1 (Multiple Choice Worth 5 points)

(08.07)

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 30 and the common ratio is two fifths. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.

the summation of 30 times two fifths to the i minus 1 power, from i equals 1 to infinity.; the sum is 50.

the summation of 30 times two fifths to the i minus 1 power, from i equals 1 to infinity.; the sum is divergent.

the summation of two fifths times 30 to the i minus 1 power, from i equals 1 to infinity.; the sum is 50.

the summation of two fifths times 30 to the i minus 1 power, from i equals 1 to infinity.; the sum is divergent.

Question 2 (Multiple Choice Worth 5 points)

(08.03)

What is the 7th term of the geometric sequence where a1 = −4,096 and a4 = 64?

−1

4

1

−4

Question 3 (Multiple Choice Worth 5 points)

(08.08)

The sequence an = 27(one third)n − 1 is graphed below:

coordinate plane showing the points 2, 9; 3, 3; and 4, 1

Find the average rate of change between n = 2 and n = 4.

negative one fourth

one fourth

−4

4

Question 4 (Multiple Choice Worth 5 points)

(08.03)

Given the geometric sequence where a1 = 2 and the common ratio is 4, what is the domain for n?

All real numbers

All integers where n ≥ 0

All integers where n ≥ 1

All integers where n ≥ 2

Question 5 (Multiple Choice Worth 5 points)

(08.02)

What is the sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms?

1,842

1,844

1,846

1,848

Question 6 (Multiple Choice Worth 5 points)

(08.08)

Which sequence is modeled by the graph below?

coordinate plane showing the points 2, 1; 3, 3; and 4, 9

an = one third(27)n − 1

an = 27(one third)n − 1

an = one third(3)n − 1

an = 3(one half)n − 1

Question 7 (Multiple Choice Worth 5 points)

(08.04)

What is the sum of a 7-term geometric series if the first term is −11, the last term is −171,875, and the common ratio is −5?

−143,231

−36,047

144,177

716,144

Question 8 (Multiple Choice Worth 5 points)

(08.04)

What is the sum of the geometric sequence 4, 16, 64, … if there are 8 terms?

21,845

43,690

65,535

87,380

Question 9 (Multiple Choice Worth 5 points)

(08.01)

Given the arithmetic sequence an = 3 + 2(n − 1), what is the domain for n?

All integers where n ≥ 0

All integers where n > 0

All integers where n ≤ 1

All integers where n ≥ 1

Question 10 (Multiple Choice Worth 5 points)

(08.01)

What is the 25th term of the arithmetic sequence where a1 = 8 and a9 = 48?

113

118

123

128