Modeling with Sequences and Series — Test

Question 1

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

Revolt · Accepted Answer

The sequence is not geometric because 2 thirds was added to each term to get the next term.; The sequence is not geometric because 3 was multiplied to each term to get the next term.

Question 2

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?

Revolt · Accepted Answer

row 7; row 11

Question 3

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?

Revolt · Accepted Answer

d is equal to the fraction with numerator 60 times open paren 1 minus 0 point 4 to the 6th power close paren and denominator 1 minus 0 point 4; d is equal to 60 plus open paren 6 minus 1 close paren times 0 point 4

Question 4

Which of the following is an arithmetic sequence?

Revolt · Accepted Answer

negative 7 over 11 comma 6 over 11 comma negative 5 over 11 comma 4 over 11 comma dot dot dot

Question 5

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

Revolt · Accepted Answer

a series that is neither arithmetic nor geometric

Modeling with Sequences and Series — Test Answers

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