Arithmetic and Geometric Sequences Practice

The value of the first term is 10. The sequence has a common difference of 3. Which explicit equation correctly describes the sequence?

• f(n) = 10 + 3(n - 1)

• f(n) = 10 + 3n

• f(n) = 3 + 10(n - 1)

• f(n) = 3 + 10n

The value of the first term is 4. The sequence has a common difference of 10. Which recursive equation correctly describes the sequence?

• f(1) = 4 ; f(n) = f(n - 1) + 10

• f(1) = 10 ; f(n) = f(n - 1) + 4

• f(1) = 4 ; f(n - 1) = f(n) + 10

• f(n) = 4 ; f(n) = f(n - 1) + 10

The value of the first term is 12. The sequence has a common difference of 4. Which recursive equation correctly describes the sequence?

• f(1) = 12 ; f(n) = f(n - 1) + 4

• f(1) = 4 ; f(n) = f(n - 1) + 12

• f(1) = 12 ; f(n - 1) = f(n) + 4

• f(n) = 12 ; f(n) = f(n - 1) + 4

The value of the 0th term is 2. The sequence has a common difference of 11. Which recursive equation correctly describes the sequence?

• f(0) = 2 ; f(n) = f(n - 1) + 11

• f(0) = 11 ; f(n) = f(n - 1) + 2

• f(0) = 2 ; f(n - 1) = f(n) + 11

• f(1) = 2 ; f(n) = f(n - 1) + 11

• Arithmetic

• Geometric

Answer explanation

Percentages are almost always Geometric.

What is the sum of the first 20 terms of the arithmetic sequence 2, 5, 8, 11, ...?

• 590

• 610

• 630

• 650

The value of the first term is 6. The sequence has a common ratio of 3. Which recursive equation correctly describes the sequence?

• f(0) = 6 ; f(n) = f(n - 1) ⋅ 3

• f(1) = 6 ; f(n) = f(n - 1) ⋅ 3

• f(1) = 6 ; f(n) = f(n - 1) + 3

• f(1) = 3 ; f(n - 1) = f(n) ⋅ 6

The value of the first term is 3. The sequence has a common ratio of 2. Which recursive equation correctly describes the sequence?

• f(0) = 3 ; f(n) = f(n - 1) ⋅ 2

• f(1) = 3 ; f(n) = f(n - 1) ⋅ 2

• f(1) = 3 ; f(n) = f(n - 1) + 2

• f(1) = 3 ; f(n - 1) = f(n) ⋅ 2

The value of the first term is 3. The sequence has a common difference of 5. Which explicit equation correctly describes the sequence?

• f(n) = 3 + 5(n - 1)

• f(n) = 3 + 5n

• f(n) = 5 + 3(n - 1)

• f(n) = 5 + 3n

The value of the 0th term is 5. The sequence has a common difference of 6. Which explicit equation correctly describes the sequence?

• f(n) = 5 + 6(n - 1)

• f(n) = 5 + 6n

• f(n) = 6 + 5(n - 1)

• f(n) = 6 + 5n