Mastering Arithmetic Sequences

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

• 2

• 4

• 6

• 8

Identify the first term and common difference of the sequence 12, 9, 6, 3.

• First term: 6, Common difference: -2

• First term: 12, Common difference: 3

• First term: 12, Common difference: -3

• First term: 9, Common difference: -3

Calculate the 10th term of the arithmetic sequence where the first term is 5 and the common difference is 2.

• 21

• 25

• 23

• 19

If the 5th term of an arithmetic sequence is 20 and the common difference is 3, what is the first term?

• 8

• 15

• 12

• 5

Solve the word problem: A car travels 60 miles in the first hour, 70 miles in the second hour, and continues to increase its speed by 10 miles each hour. How far will it travel in the 5th hour?

• 90 miles

• 100 miles

• 80 miles

• 110 miles

Find the 15th term of the arithmetic sequence defined by the formula a_n = 4 + (n-1) * 3.

• 42

• 50

• 46

• 39

What is the common difference of the sequence 25, 20, 15, 10?

• 5

• 0

• -10

• -5

If the first term of an arithmetic sequence is 8 and the 7th term is 32, what is the common difference?

• 4

• 2

• 6

• 10

A sequence starts with 2 and has a common difference of 5. What is the 12th term?

• 62

• 57

• 47

• 52

In a word problem, a person saves $100 in the first month, $150 in the second month, and continues to save $50 more each month. How much will they save in the 6th month?

• 250

• 300

• 400

• 350