Understanding Arithmetic Sequences

1. What is the common difference in the arithmetic sequence 3, 7, 11, 15?

• 8

• 4

• 2

• 6

A) 2 B) 3 C) 4 D) 5

• 7

• 1

• 3

• 6

2. If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?

• 28

• 25

• 40

• 32

A) 32 B) 35 C) 30 D) 28

• 29

• 36

• 30

• 33

3. Which formula represents the nth term of an arithmetic sequence?

• a_n = a_1 + (n - 1)d

• a_n = a_1 * n + d

• a_n = n^2 + a_1

• a_n = a_1 - (n - 1)d

A) a_n = a_1 + (n-1)d B) a_n = a_1 * d^(n-1) C) a_n = n * d D) a_n = a_1 - (n-1)d

• A

• a_n = a_1 + n*d

• a_n = a_1 + d

• a_n = a_1 / d^(n-1)

4. In the arithmetic sequence 2, 5, 8, ..., what is the 20th term?

• 56

• 65

• 59

• 62

A) 59 B) 62 C) 64 D) 66

• 60

• 63

• 65

• 64

5. What is the sum of the first 10 terms of the arithmetic sequence 4, 8, 12, ...?

• 220

• 250

• 200

• 180

A) 220 B) 240 C) 200 D) 180

• 260

• 300

• 150

• 240