Alg 2 (17-18) Section 10 Review

Romeo is conducting an experiment on finding the melting point of an object. This experiment involves increasing the temperature of the object incrementally by 5 degrees until it melts starting at 72 degrees Fahrenheit.

What is the recursive formula of this experiment?

• 
• 
• 
• 

Given the recursive formula of an arithmetic sequence starting at 13.8, which of the following would be the explicit formula of this sequence?

• a(n) = 13.8 + 0.6(n+1), where n > 0

• a(n) = 13.8 + 0.6(n-1), where n > 0

• a(n) = 13.8 + 0.6n, where n >= 1

• a(n) = 0.6 + 13.8(n-1), where n > 0

Find the common difference in the arithmetic sequence where p(35) = -9p + 4 and p(28) = 5p - 17.

• d = 2p - 3

• d = -14p + 21

• d = 14p - 21

• d = -2p + 3

What would be the 5th term of the sequence defined by b_n?

• 
• 
• 
• 

What is the common ratio of the geometric sequence?

• 
• 
• 
• 

Find the common difference in the arithmetic sequence where a(18) = 17a + 11 and a(21) = 8a + 8.

• 9a + 3

• -9a - 3

• 3a + 1

• -3a - 1

A school auditorium has 21 rows of seats. It has 20 seats in the second row, 23 seats in the third row, 26 seats in the fourth row, and so on. Which of the following statements are correct? Select all that apply.

• a_n = 17 + (n - 1)3 is the explicit formula for arithmetic sequence of seats per row in the auditorium.

• t₁ = 20 and t_n = t_n-1 + 3 the recursive formula for arithmetic sequence of seats per row in the auditorium.

• There are 44 seats in the tenth row in the auditorium.

• There are 59 seats in the eighteenth row in the auditorium.

• There are 222 seats combined in the last 3 rows in the auditorium.

What is the ninth term of the geometric sequence −√2, √6, −3√2, ... ?

• −81√6

• −81√2

• 81√2

• 81√6

Abraham just accepted a new job at a consulting firm that pays $47,500 during the first year, with an annual increase of 7% per year beginning in the second year. What can Abraham expect to earn in his fifth anniversary with the consulting firm? Round your answer to the nearest dollar.

• $60,800

• $62,263

• $64,125

• $66,621

You are saving for a spring break cruise for the end of March of next year that costs $600. You start with $50 in August. At the beginning of each month you plan to deposit 20% more than the previous month. Will you have enough money for your trip? if not, how much more do you need?

• No, I will need about $55 for my trip.

• No, I will need about $87 for my trip.

• No, I will need about $125 for my trip.

• Yes, I will have enough money for my trip.