Common Core HSF.IF.A.3 worksheet

Question 1

A loan of $1900 grows by 1.5% interest each month, then a payment of $100 is made. So Bₙ₊₁ = 1.015Bₙ − 100. What is the balance after 3 months? Round to 2 decimal places.

Answer 

Question 2

u₁ = 2 and uₙ₊₁ = −2uₙ + 4. Find u₄.

Answer 

Question 3

Which rule generates 4, 10, 22, 46, …?

• A. uₙ₊₁ = uₙ + 6
• B. uₙ₊₁ = 2uₙ + 2
• C. uₙ₊₁ = uₙ + 2
• D. uₙ₊₁ = 3uₙ − 2

Question 4

A loan of $600 grows by 1.5% interest each month, then a payment of $400 is made. So Bₙ₊₁ = 1.015Bₙ − 400. What is the balance after 3 months? Round to 2 decimal places.

Answer 

Question 5

u₁ = −3 and uₙ₊₁ = −2uₙ − 2. Find u₄.

Answer 

Question 6

Which rule generates 3, 10, 31, 94, …?

• A. uₙ₊₁ = 3uₙ + 1
• B. uₙ₊₁ = 4uₙ − 2
• C. uₙ₊₁ = 2uₙ + 3
• D. uₙ₊₁ = uₙ + 7

Question 7

A loan of $1200 grows by 1.5% interest each month, then a payment of $100 is made. So Bₙ₊₁ = 1.015Bₙ − 100. What is the balance after 3 months? Round to 2 decimal places.

Answer 

Question 8

u₁ = 0 and uₙ₊₁ = 2uₙ − 2. Find u₄.

Answer 

Question 9

Which rule generates 3, 11, 35, 107, …?

• A. uₙ₊₁ = uₙ + 8
• B. uₙ₊₁ = uₙ + 3
• C. uₙ₊₁ = 3uₙ + 2
• D. uₙ₊₁ = 4uₙ − 1

Question 10

A loan of $2000 grows by 1% interest each month, then a payment of $200 is made. So Bₙ₊₁ = 1.01Bₙ − 200. What is the balance after 3 months? Round to 2 decimal places.

Answer 

Question 11

u₁ = 0 and uₙ₊₁ = −2uₙ + 4. Find u₄.

Answer 

Question 12

Which rule generates 2, 5, 11, 23, …?

• A. uₙ₊₁ = 2uₙ + 1
• B. uₙ₊₁ = 2uₙ − 1
• C. uₙ₊₁ = uₙ + 3
• D. uₙ₊₁ = 2uₙ + 2

Question 13

A loan of $1200 grows by 2% interest each month, then a payment of $400 is made. So Bₙ₊₁ = 1.02Bₙ − 400. What is the balance after 3 months? Round to 2 decimal places.

Answer 

Question 14

u₁ = −4 and uₙ₊₁ = 2uₙ + 3. Find u₄.

Answer 

Question 15

Which rule generates 3, 9, 21, 45, …?

• A. uₙ₊₁ = 2uₙ + 3
• B. uₙ₊₁ = 3uₙ + 0
• C. uₙ₊₁ = uₙ + 2
• D. uₙ₊₁ = 2uₙ − 3

Question 16

A loan of $600 grows by 1.5% interest each month, then a payment of $100 is made. So Bₙ₊₁ = 1.015Bₙ − 100. What is the balance after 3 months? Round to 2 decimal places.

Answer