Sequences

What is the main difference between finite and infinite sequences?

• Finite sequences have a limited number of terms, while infinite sequences continue indefinitely.

• Finite sequences are always arithmetic, while infinite sequences are always geometric.

• Finite sequences use explicit formulas, while infinite sequences use recursive formulas.

• Finite sequences are enclosed in brackets, while infinite sequences are not.

How can you find any term in a sequence using an explicit formula?

• By adding the previous two terms.

• By multiplying the previous term by a constant.

• By using a functional equation with a variable and subscript.

• By subtracting a constant from the previous term.

In a recursive formula, how is the next term in a sequence determined?

• By using the previous term and a common difference.

• By dividing the previous term by a constant.

• By using an explicit formula.

• By adding a constant to the first term.

What is the common difference in an arithmetic sequence?

• The number you multiply by to get the next term.

• The number you divide by to get the next term.

• The sum of the first and last terms.

• The constant added or subtracted to get the next term.

How is a geometric sequence different from an arithmetic sequence?

• A geometric sequence uses addition, while an arithmetic sequence uses multiplication.

• A geometric sequence is finite, while an arithmetic sequence is infinite.

• A geometric sequence has a common difference, while an arithmetic sequence has a common ratio.

• A geometric sequence uses multiplication or division, while an arithmetic sequence uses addition or subtraction.

In a Fibonacci sequence, how is each term calculated?

• By subtracting the previous term from the next term.

• By adding the previous two terms.

• By dividing the previous term by a constant.

• By multiplying the previous term by a constant.

Which of the following is true about Fibonacci sequences?

• They use explicit formulas.

• They have a common ratio.

• They are generated by adding the previous two terms.

• They are always finite.