Sequences Quiz

What is the common difference in an arithmetic sequence?

• Variable value added or subtracted to each term.

• Constant value added or subtracted to each term

• Random value added or subtracted to each term.

• Increasing value added or subtracted to each term.

Find the next term in the arithmetic sequence: 2, 5, 8, 11, ...

• 14

• 23

• 20

• 17

What is the formula to find the nth term of an arithmetic sequence?

• nth term = first term + (n-1) * common ratio.

• nth term = first term + (n-1) * common sum.

• nth term = first term * (n-1) * common difference.

• nth term = first term + (n-1) * common difference

What is the common ratio in a geometric sequence?

• The common ratio in a geometric sequence is the constant ratio between any two consecutive terms.

• The common ratio in a geometric sequence is the product of all the terms.

• The common ratio in a geometric sequence is the sum of all the terms.

• The common ratio in a geometric sequence is the difference between any two consecutive terms.

Find the next term in the geometric sequence: 2, 6, 18, 54, ...

• 162

• 324

• 216

• 108

What is the formula to find the nth term of a geometric sequence?

• a_n = a₁ * r^(n-1)

• a_n = a₁ * r^(n-2)

• a_n = a₁ * r^(n+1)

• a_n = a₁ * r^n

What is a recursive sequence?

• A recursive sequence is a sequence in which each term is defined by a future term.

• A recursive sequence is a sequence in which each term is randomly generated.

• A recursive sequence is a sequence in which each term is defined by one or more previous terms.

• A recursive sequence is a sequence in which each term is defined by a formula or equation.

Find the next term in the recursive sequence: 1, 3, 7, 15, ...

• 31

• 29

• 35

• 21