Arithmetic Sequences and Series Quiz

What is the common difference in an arithmetic sequence where the first term is -3 and the second term is 1?

• 4

• 3

• 2

• 5

If the first term of an arithmetic sequence is 6 and the common difference is 8, what is the formula for the nth term?

• 6n + 8

• 8n - 6

• 6 + 8(n-1)

• 6 + 8n

How do you find the 41st term of an arithmetic sequence with a first term of -2 and a common difference of 8?

• 8*41

• -2 + 8*41

• 41 - 2

• -2 + 41

What is the common difference if there are four arithmetic means between -8 and 22?

• 8

• 5

• 7

• 6

How do you calculate the sum of the first 40 terms of an arithmetic series with a first term of 50 and a last term of 262?

• 50 + 262

• 40 + 50 + 262

• 40 * (50 + 262) / 2

• 40 * 50 * 262

What is the sum of the first 12 terms of an arithmetic series if the first term is 6 and the last term is 50?

• 6 + 50

• 12 * 6 * 50

• 12 + 6 + 50

• 12 * (6 + 50) / 2

In Sigma notation, what does the bottom number represent?

• The sum of the series

• The ending value of the variable

• The starting value of the variable

• The number of terms

What is the 15th term of an arithmetic sequence if the first term is -3 and the common difference is 4?

• 53

• 55

• 59

• 57

How do you find the common difference in an arithmetic sequence if the 6th term is 29 and the first term is 14?

• 29 - 14

• 29 / 14

• 14 - 29

• (29 - 14) / 5

What is the purpose of Sigma notation in arithmetic series?

• To determine the first term

• To calculate the common difference

• To represent the sum of a series

• To find the nth term