Exploring Arithmetic Sequences and Series

What is required for a sequence to be classified as an arithmetic sequence?

• The sequence must alternate between two numbers.

• The sequence must have a common difference.

• The sequence must include only prime numbers.

• The sequence must have a common ratio.

What is the common difference in the sequence 2, 5, 8, 11, 14, 17, 20?

• 3

• 2

• 4

• 5

What does the term 'D' represent in the formula for finding terms in an arithmetic sequence?

• The last term of the sequence.

• The sum of the sequence.

• The total number of terms in the sequence.

• The common difference between consecutive terms.

If the first term of an arithmetic sequence is 5 and the common difference is 6, what is the 12th term?

• 71

• 65

• 77

• 83

How do you calculate the arithmetic mean of two numbers?

• Multiply the two numbers and divide by two.

• Add the two numbers and divide by three.

• Subtract the smaller number from the larger and divide by two.

• Add the two numbers and divide by two.

What does the arithmetic mean of 5 and 9 equal?

• 8

• 9

• 7

• 6

What is the formula to find the sum of a finite arithmetic series?

• n * (first term - last term)

• n/2 * (first term - last term)

• n * (first term + last term)

• n/2 * (first term + last term)

In a finite arithmetic series starting with 2 and ending with 80, with 12 numbers in between, what is the sum?

• 504

• 492

• 588

• 620

What is the 8th term of the sequence 32, 36, 40, 44?

• 52

• 60

• 56

• 64

What is the sum of the first 12 terms of the sequence starting with 32 and having a common difference of 4?

• 504

• 488

• 512

• 528