Word Problems
Taylor Swift is on a shopping spree. She starts with $20,000 and spends 20% of her remaining money each day. What is my initial value and my common ratio?
Initial Value=$20,000
Common Ratio= .80
What is an arithmetic sequence?
A pattern where you add or subtract by the same common difference
x 1 2 3 4 5
y 20 80 ? ? ?
Given the geometric sequence above find the missing terms and provide me with the common ratio
Common ratio is 4
missing terms are 320, 1280, 5120
Serena Williams deposits $75,000 into an account with a 12% annual interest rate. Write the recursive equation
Next=previous·(1.12)
What is a geometric sequence?
A pattern where you multiply by the same common ratio
x 1 2 3 4 5 6
y -20 -12 ? ? ? 20
Given the arithmetic sequence above find the missing terms and provide me with the common difference
Common difference is +8
Missing terms are -4, 4, 12,
Drake has $1,000,000 in his bank account. Each year, he spends 25% of what he has left. What's the explicit equation?
y=1,000,000·(.75)x
True or False: Geometric sequences can both increase and decrease.
True
x 1 2 3 4 5
y 2 ? ? ? 162
Given the geometric sequence above find the missing terms and provide me with the common ratio
Common ratio is 3
missing terms are 6 18 54
Elon Musk invests $250,000 into a tech startup account that earns 18% interest annually. Write the explicit and recursive equation?
Next=previous · (1.18)
y=250,000· (1.18)x
81, -27, 9, -3, 1, -1/3, 1/9
Whats type of sequence is it? Whats the common ratio?
Geometric
common ratio = ·(-1/3)
x 1 2 3 4 5 6
y -50 ? ? ? ? 35
Given the arithmetic sequence above find the missing terms and provide me with the common difference
Common difference is 17
Missing terms are -33, -16, 1, 18
Peso Pluma earns $80,000 in royalties from his latest album and invests it in a music fund that earns 14% interest per year. How much will he have in the fund after 8 years?
y=80,000 · (1.14)8 =$210,880
49.5, 43, ___, 30, ____
Give me the missing terms and the common difference
Common difference is -6.5
Missing terms are 36.5 and 23.5
x 1 2 3 4 5
y 2 ? ? ? 101,250
Given the geometric sequence above find the missing terms and provide me with the common ratio
Common ratio is 15
Missing terms are 30, 450, 6750