Expressions for the nth Term in Arithmetic Sequences

What defines an arithmetic sequence?

• A sequence where each term is squared.

• A sequence where the same value is added or subtracted each time.

• A sequence where numbers are multiplied by a constant.

• A sequence where numbers are divided by a constant.

What is the formula for the nth term of the sequence 5, 9, 13, 17, 21?

• 4n + 1

• n + 4

• 5n + 4

• 4n + 5

How do you find the 50th term of the sequence 5, 9, 13, 17, 21?

• Add 50 to 5.

• Multiply 50 by 5.

• Multiply 50 by 4 and add 1.

• Add 4 to 5, fifty times.

What is the common difference in the sequence 5, 9, 13, 17, 21?

• 3

• 4

• 5

• 6

How do you derive the formula for an arithmetic sequence?

• Identify the first term and add the common difference.

• Multiply the common difference by the term number and adjust by the first term.

• Start with the common difference times the term number, then adjust for the initial term.

• Divide the last term by the term number.

What is the formula for a sequence decreasing by 5 each time, starting at 26?

• 5n + 31

• 5n - 26

• -5n + 31

• -5n + 26

How do you verify a formula for an arithmetic sequence?

• Subtract the common difference from the first term.

• Use the formula to calculate a known term and check the result.

• Multiply the first term by the common difference.

• Divide the last term by the common difference.

What is the 5th term of the sequence increasing by 1.5 each time, starting from 1?

• 6.5

• 7

• 7.5

• 8.5

What adjustment is made to the formula when the sequence decreases?

• Divide the first term by the common difference.

• Subtract the common difference from the first term.

• Add the common difference to the first term.

• Multiply the first term by the common difference.

What does the term 'common difference' refer to in an arithmetic sequence?

• The product of the first and last term.

• The constant value added or subtracted between consecutive terms.

• The sum of all terms divided by the number of terms.

• The difference between the first and last term.