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 a constant.

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

How can you represent the nth term of an arithmetic sequence?

• Using a geometric formula.

• Using a quadratic equation.

• Using an algebraic expression.

• Using a logarithmic function.

If the expression for a sequence is 4n + 1, what is the third term?

• 11

• 12

• 13

• 14

What is the benefit of using an expression for a sequence?

• It eliminates the need for a common difference.

• It changes the sequence to a geometric sequence.

• It makes the sequence more complex.

• It allows finding any term in the sequence easily.

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

• 3

• 6

• 4

• 5

How do you find the imaginary first term in a sequence?

• By subtracting the common difference from the first term.

• By multiplying the first term by the common difference.

• By dividing the first term by the common difference.

• By adding the common difference to the first term.

What is the expression for a sequence with a common difference of -5?

• 5n - 31

• -5n + 31

• 5n + 31

• -5n - 31

For a sequence increasing by 1.5 each time, what is the expression?

• 1.5n - 1.5

• 1.5n + 1.5

• 1.5n - 0.5

• 1.5n + 0.5

How can you verify if your expression for a sequence is correct?

• By comparing it to a geometric sequence.

• By ensuring it is a quadratic equation.

• By making sure it has no negative terms.

• By checking if it matches a known term.

What should you do if you find the expression useful?

• Share it with friends and teachers.

• Ignore it.

• Keep it to yourself.

• Use it only for small sequences.