COMC Functions and Sequences 2

Question 1

The 3rd term of a geometric sequence is 12 and the 6th term is 96. What is the common ratio?

Accepted Answer

2

Answer

1.5

Answer

2.5

Answer

3

Question 2

The sum of the first n terms of a sequence is Sₙ = 3n² + 2n. What is the 5th term?

Accepted Answer

29

Answer

21

Answer

25

Answer

33

Question 3

What is the sum of the infinite geometric series 1 − 1/2 + 1/4 − 1/8 + · · ·?

Accepted Answer

2/3

Answer

1/3

Answer

1/2

Answer

3/4

Question 4

A sequence satisfies aₙ₊₁ = 2aₙ − 1 with a₁ = 3. What is a₅?

Accepted Answer

33

Answer

17

Answer

25

Answer

41

Question 5

The sum of the first n odd positive integers 1 + 3 + 5 + · · · + (2n−1) equals which expression?

Accepted Answer

n²

Answer

n(n−1)/2

Answer

n(n+1)/2

Answer

2n−1

Question 6

In an arithmetic sequence, the sum of the 3rd and 7th terms is 26, and the sum of the 4th and 8th terms is 30. What is the common difference?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 7

The Fibonacci sequence is F₁=1, F₂=1, Fₙ=Fₙ₋₁+Fₙ₋₂ for n ≥ 3. What is F₁₀?

Accepted Answer

55

Answer

34

Answer

44

Answer

64