Modeling with Sequences and Series - Test Test Answers

Marquis begins a job making 53 dollars comma 000 per year. Each year, he is to receive a 1 dollars comma 600 raise. His salary after n years can be modeled by this equation: A sub n is equal to 53 comma 000 plus open paren n minus 1 close paren times 1 comma 600 After 25 years, how much total money will Marquis have earned from this job?

Which statement describes the sequence defined by A sub n is equal to the fraction with numerator n cubed plus 3 n and denominator n squared minus 6 n ?

Which of the following is true regarding the given sequence? 7 over 12 comma 1 sixth comma negative 1 fourth comma negative 2 thirds

Which geometric series converges?

What is the value of cap s sub 4 for this series? the sum from n is equal to 1 to infinity of 2 thirds

Which of the following is an arithmetic sequence?

Consider the sequence 2 fourths comma 3 fifths comma the fraction with numerator 4 and denominator 6 comma comma 5 sevenths comma dot dot dot Which statement describes the sequence?

Which summation formula represents the series? 13 plus 9 plus 5 plus 1

What are the first three terms of a geometric sequence in which A sub 5 is equal to 25 and the common ratio is 5 ?

What is the summation notation for the geometric series 5 plus 10 plus 20 plus 40 plus 80 ?

The sum of the series is 10 comma 900 How many numbers, n , are in the series? 19 plus 20 point 5 plus 22 plus 23 point 5 plus dot dot dot plus 181

Which graph represents a geometric sequence?

An arithmetic series is represented by the equation cap s sub 24 is equal to the sum from k is equal to 1 to 24 of negative 6 plus 0 point 5 Which of the following is true?

Consider the series 1 fourth plus 1 over 16 plus 1 over 64 plus 1 over 256 plus dot dot dot Which expression defines cap s sub n ?

What is the sum of this series? the sum from n is equal to 1 to 60 of 3

Micah takes a job with a starting salary of 78 dollars comma 000 for the first year. He earns a 4 percent increase each year. To the nearest dollar, how much does Micah make over the first seven years?

Which of the following is one way the expression the sum from n is equal to 18 to 64 of open paren 1 half close paren can be rewritten using summation properties?

The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where A sub n is the foot length in inches that corresponds to a shoe size of n A women’s size 7 fits a foot 9 and 1 third inches long, and a women’s size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

Which of the following can be used to evaluate this series? the sum from k is equal to 1 to 8 of 5

Vince wrote the given sequence. (1)/(3),1,(5)/(3),(7)/(3),... Which of the following explains whether the sequence is geometric?

There are 78 students from a local high school attending a concert. The concert hall has 40 rows of seats. The first row has 50 seats, and each row after that has 4 more seats than the one before. If all 78 students sit in one row and are as close to the front row as possible, in which row did the students sit?

A balloon takes 1 minute to rise 60 feet in the air. Each minute after that, the balloon rises 40 percent as far as it did the previous minute. Which equation represents the total distance, d , in feet that the balloon rises in 6 minutes?

Which of the following represents the number of balls in the first 8 layers of the pyramid?