Understanding Arithmetic Sequences

What is an arithmetic sequence?

• A sequence where each term is a square of the previous term.

• A sequence where each term is divided by a constant.

• A sequence where each term is added or subtracted by the same number.

• A sequence where each term is multiplied by a constant.

How do you find the term before the first term in an arithmetic sequence?

• Subtract the common difference from the first term.

• Divide the first term by the common difference.

• Add the common difference to the first term.

• Multiply the first term by the common difference.

What is the common difference in the sequence: -3, 0, 3, 6, 9?

• 0

• 6

• -3

• 3

What is the slope in the equation of an arithmetic sequence?

• The sum of all terms in the sequence.

• The last term of the sequence.

• The common difference of the sequence.

• The first term of the sequence.

What is the y-intercept in the equation of an arithmetic sequence?

• The last term of the sequence.

• The common difference of the sequence.

• The term when n equals zero.

• The first term of the sequence.

In the equation t(n) = 3n - 6, what does the -6 represent?

• The common difference.

• The first term of the sequence.

• The y-intercept or term when n equals zero.

• The last term of the sequence.

How can you determine the 45th term in an arithmetic sequence?

• By adding 45 to the first term.

• By multiplying the common difference by 45 and adding the first term.

• By using the equation of the sequence and substituting 45 for n.

• By subtracting 45 from the last term.

How do you check if a number is part of an arithmetic sequence?

• By substituting the number into the sequence equation and solving for n.

• By adding the number to the sequence.

• By dividing the number by the first term.

• By checking if the number is a multiple of the common difference.

Why can't a sequence include a decimal term number?

• Because sequences are discrete.

• Because sequences are continuous.

• Because sequences are always increasing.

• Because sequences are infinite.

What does it mean for a sequence to be discrete?

• It has terms that are all integers.

• It has distinct, separate terms.

• It has a finite number of terms.

• It has a continuous range of values.