Arithmetic Series Mastery

What is the common difference in the arithmetic series: 3, 7, 11, 15, ...?

• 10

• 4

• 6

• 2

Calculate the 10th term of the arithmetic series: 2, 5, 8, 11, ...

• 20

• 15

• 25

• 28

Find the sum of the first 15 terms of the arithmetic series: 4, 9, 14, 19, ...

• The sum of the first 15 terms is 500.

• The sum of the first 15 terms is 1355.

• The sum of the first 15 terms is 1000.

• The sum of the first 15 terms is 2000.

Apply the formula for the sum of the first 20 terms of an arithmetic series with a first term of 3 and a common difference of 6.

• 720

• 45

• 300

• 1260

Identify the common difference in the arithmetic series: 12, 9, 6, 3, ...

• -3

• -1

• 0

• 5

Calculate the 7th term of the arithmetic series: 17, 23, 29, 35, ...

• 30

• 41

• 47

• 53

Find the sum of the first 12 terms of the arithmetic series: 6, 12, 18, 24, ...

• 72

• 210

• 396

• 150

Apply the formula for the sum of the first 25 terms of an arithmetic series with a first term of 5 and a common difference of 4.

• S25 = 25/2 * (2*5 + (25-1)*4) = 25/2 * (10 + 90) = 25/2 * 100 = 25 * 50 = 1250

• S25 = 25/2 * (2*5 + (25-1)*5) = 25/2 * (10 + 120) = 25/2 * 130 = 25 * 65 = 1625

• S25 = 25/2 * (2*5 + (25-1)*4) = 25/2 * (10 + 100) = 25/2 * 110 = 25 * 55 = 1375

• S25 = 25/2 * (2*5 + (25-1)*4) = 25/2 * (10 + 96) = 25/2 * 106 = 25 * 53 = 1325

What is the common difference in the arithmetic series: -4, -1, 2, 5, ...?

• 0

• -2

• 3

• 7

Calculate the 15th term of the arithmetic series: 10, 15, 20, 25, ...

• 30

• 80

• 45

• 55