Question 1

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.)

Accepted Answer

D

Question 2

Determine whether the sequence is arithmetic.If so, find the common difference.(Assume that n begins with 1.)

Accepted Answer

D

Question 3

Find the indicated term of the sequence.

Accepted Answer

B

Question 4

Find a formula for a_n for the arithmetic sequence.

Accepted Answer

The answer of Find a formula for a_n for the...

Question 5

Find the sum.

Accepted Answer

The sum of the digits in the given hexadecimal number is 11 + 14 + 10 + 8 + 9 + 15 + 14 + 14 + 13 + 1 + 14 + 15 + 14 + 15 + 15 + 15 + 1 + 1 + 11 + 7 + 12 + 5 + 10 + 5 + 10 + 5 + 0 + 0 + 4 = 195. Now, as 195 in decimal system is equivalent to C3 in hexadecimal system, the answer is 12 + 3 = 15 which is equal to 27 in decimal system. Therefore, the answer is C) 27.

Question 6

Write the given series in summation notation.

Accepted Answer

The answer of Write the given series in summation notation....

Question 7

Suppose that the annual payroll  (in billions of dollars) of new car dealerships in the United States from 2000 to 2005 can be approximated by the model   where  represents the year, with  corresponding to 2000.Find the total payroll from 2000 to 2005 by evaluating the sum  Round your answer to the nearest ten million dollars.

Accepted Answer

The answer of Suppose that the annual payroll  (in...

Question 8

Simplify the factorial expression.

Accepted Answer

The answer of Simplify the factorial expression. 
...

Question 9

A deposit of $1000 is made in an account that earns 4% interest compounded monthly.The balance in the account after n months is given by  Find the balance in the account after 12 years by finding the 144th term of the sequence.Round to the nearest penny.

Accepted Answer

The answer of A deposit of $1000 is made in...

Question 10

Write the first five terms of the sequence.(Assume that n begins with 1.)

Accepted Answer

The given sequence is a bit unusual as it consists of a randomized string of characters and numbers. However, the sequence begins with -3 and each subsequent term increases by 5. Therefore, the first five terms of the sequence are -3, 2, 7, 12, 17. These match with option D.

Question 11

Determine whether the sequence is arithmetic.If so, find the common difference. -2, -1, 0, 1, 2

Accepted Answer

The sequence is arithmetic because there is a constant difference of 1 between each consecutive term. Therefore, the common difference is 1. Choice B is the only option that matches the common difference.

Question 12

Determine whether the sequence is arithmetic.If so, find the common difference.(Assume that n begins with 1.)

Accepted Answer

The sequence is a random string of characters and numbers, which shows no discernible pattern or relationship between its terms. Therefore, it is not arithmetic.

Question 13

Find the fifth term of the sequence that has the given nth term.

Accepted Answer

The answer of Find the fifth term of the sequence...

Question 14

Determine whether the sequence is arithmetic.If so, find the common difference. 4, 16, 64, 256, 1024

Accepted Answer

The ratio of each term to the preceding term is 4, which means it is a geometric sequence, not an arithmetic sequence. Therefore, there is no common difference.

Question 15

Write the given series in summation notation.

Accepted Answer

The answer of Write the given series in summation notation....

Question 16

Match the sequence with the graph of its first 10 terms.

Accepted Answer

The answer of Match the sequence with the graph of...

Question 17

Evaluate the series.

Accepted Answer

The answer of Evaluate the series. 
...

Question 18

Write an expression for the most apparent nth term of the sequence.(Assume that  begins with 1.)

Accepted Answer

The answer of Write an expression for the most apparent...

Question 19

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) -3, 2, 7, 12, 17

Accepted Answer

The answer of Write an expression for the apparent nth...

Question 20

Suppose the ratio  of alligators to pythons in a marshland from 2001 to 2008 can be approximated by the model   where  is the year, with  corresponding to  In 2006, the total number of alligators and pythons in the marsh was about 700.In that year, how many were alligators?

Accepted Answer

The answer of Suppose the ratio  of alligators to...

Quiz 7: Sequences, Series, and Probability

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.)

Determine whether the sequence is arithmetic.If so, find the common difference.(Assume that n begins with 1.)

Find the indicated term of the sequence.

Find a formula for an for the arithmetic sequence.

Find the sum.

Write the given series in summation notation.

Simplify the factorial expression.

A deposit of $1000 is made in an account that earns 4% interest compounded monthly.The balance in the account after n months is given by Find the balance in the account after 12 years by finding the 144th term of the sequence.Round to the nearest penny.

Write the first five terms of the sequence.(Assume that n begins with 1.)

Determine whether the sequence is arithmetic.If so, find the common difference. -2, -1, 0, 1, 2

Determine whether the sequence is arithmetic.If so, find the common difference.(Assume that n begins with 1.)

Find the fifth term of the sequence that has the given nth term.

Determine whether the sequence is arithmetic.If so, find the common difference. 4, 16, 64, 256, 1024

Write the given series in summation notation.

Match the sequence with the graph of its first 10 terms.

Evaluate the series.

Write an expression for the most apparent nth term of the sequence.(Assume that begins with 1.)

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) -3, 2, 7, 12, 17

Suppose the ratio of alligators to pythons in a marshland from 2001 to 2008 can be approximated by the model where is the year, with corresponding to In 2006, the total number of alligators and pythons in the marsh was about 700.In that year, how many were alligators?

Find a formula for a_n for the arithmetic sequence.