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1.

Which formula gives the n-th term of an arithmetic sequence with first term a and common difference d?

Tₙ = a + (n − 1) × d

Tₙ = a × rⁿ⁻¹

Tₙ = a + n × d

Tₙ = (n/2)(2a + d)

2.

In the sequence 3, 7, 11, 15, …, the common difference d and the 20th term T₂₀ are:

d = 4 and T₂₀ = 83

d = 3 and T₂₀ = 60

d = 4 and T₂₀ = 79

d = 5 and T₂₀ = 98

3.

The sum of the first n terms of an arithmetic sequence is:

Sₙ = a(1 − rⁿ)/(1 − r)

Sₙ = (n/2)[2a + (n − 1)d]

Sₙ = n(a + d)

Sₙ = a/(1 − r)

4.

The common ratio of the geometric sequence 64, 32, 16, 8, … is:

2

−1/2

4

1/2

5.

The sum to infinity of a geometric series exists if and only if:

|r| is less than 1

|r| is greater than 1

r = 1

|r| ≥ 2

6.

The sum to infinity of the geometric series 12 + 6 + 3 + 1.5 + … is:

18

36

24

Infinity

7.

If a, b, c are in arithmetic sequence, then b equals:

√(ac)

(a + c)/2

2ac/(a + c)

a + c

8.

If a, b, c are positive numbers in geometric sequence, then b equals:

(a + c)/2

ac

a² + c²

√(ac)

9.

The sum of the first 10 terms of the geometric sequence 2, 6, 18, 54, … is:

59,048

59,049

19,682

118,096

10.

How many terms are in the finite arithmetic sequence 5, 9, 13, …, 81?

19

21

20

25

11.

In an arithmetic sequence T₄ = 17 and T₁₀ = 41. The sum of its first 25 terms is:

1,250

1,325

1,300

1,375

12.

A ball dropped from a height of 20 m rebounds to 3/4 of its previous height after each bounce. Its height after the 5th bounce is about:

15 m

6.33 m

3.56 m

4.75 m

13.

The same ball is dropped from 20 m and rebounds to 3/4 of its height each time. The total distance it travels until it rests is:

140 m

80 m

120 m

160 m

Curriculum

Mathematics

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Lesson 1 Questions: Arithmetic and Geometric Sequences and Series — Lesson quiz

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