Unit 4 Sequences and Series

Find the 25th term of the sequence -7, -4, -1, 2...... a (25) = [blank_start]65[blank_end]

Write a formula for the sequence 7, 11, 15, 19.... ➡a (n) = [blank_start]4n + 3[blank_end]

Write a formula for the sequence 5, 10, 15, 20 a (n) = [blank_start]5n[blank_end]

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row and so on. If the theater has 20 rows how many seats are in the theater? [blank_start]2720[blank_end] seats

Kirk has set up a savings account for his son. If Kirk deposits $100 into the account the first month, increasing the amount he deposits by $10 per month each month. How much will be in his account after 2 years? [blank_start]5160[blank_end] dollars

The distance an object falls per second, falling 16 feet in the first second, 48 feet in the second, 80 feet in the third, etc. What is the total distance an object at 10 sec? [blank_start]1600[blank_end] feet

Write a formula for the sequence 3, 9, 27, 81 a (n) = [blank_start]3(3)^n-1[blank_end]

Write a formula for the sequence 10, 20, 40, 80, 160.... a (n) = [blank_start]10 (2)^n-1[blank_end]

A ball is dropped from a height of 8 feet. The ball bounces to 80% of its previous height with each bounce. How high does the ball bounce on the fifth bounce?( to the nearest foot) [blank_start]2.6[blank_end] feet

A population of a town is 2400 in the year 2007. The population increased 5% each year. What was the population in the year 2010 to the nearest whole number? [blank_start]7566[blank_end] people

The temperature of a hot tub is increased 10% per hour. If the current temperature is 75°F , what will be the temperature of the tub after 3 hours? (to the nearest whole number) [blank_start]91[blank_end]°F

John starts a retirement account where he placed $50 into the account on the first month and increase by $5 per month. If he saves his way for the next 20 years, how much will the account contain at the end of 20 yrs? $ [blank_start]1,446,000[blank_end]

Write a recursive formula for the terms 16, 8, 4... (in decimals) a (1)=[blank_start]16[blank_end] a (n)= [blank_start]0.5a(n-1)[blank_end]

Find the next four terms of the recursive definition a (1)=2 a (n)=a(n-1) +2 2, [blank_start]4, 6, 8, 10[blank_end]

Consider a (1)=2 and a (n)= a (n-1)•3. Generate a (4)= [blank_start]54[blank_end]