Sequences Quiz

What is an arithmetic sequence?

• A sequence of numbers with an increasing difference between consecutive terms.

• A sequence of numbers with a constant difference between consecutive terms.

• A sequence of numbers with a decreasing difference between consecutive terms.

• A sequence of numbers with a random difference between consecutive terms.

Find the common difference of the arithmetic sequence: 2, 5, 8, 11, 14.

• 1

• 3

• 4

• 6

Determine the next term in the arithmetic sequence: 3, 7, 11, 15, __.

• 17

• 21

• 23

• 19

What is a recursive sequence?

• 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 a future term.

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

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

Write the recursive formula for the sequence: 1, 3, 9, 27, 81.

• a(n) = a(n-1) * 3 + 1

• a(n) = 3 * a(n-1)

• a(n) = 2 * a(n-1)

• a(n) = a(n-1) + 3

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

• 108

• 216

• 324

• 162

What is an explicit formula for a sequence?

• A formula that directly gives the value of any term in the sequence based on its position or index.

• A formula that gives the product of all terms in the sequence.

• A formula that gives the average of all terms in the sequence.

• A formula that gives the sum of all terms in the sequence.

Find the explicit formula for the arithmetic sequence: 4, 9, 14, 19, 24.

• 5n + 4

• 4n + 1

• 5n + 1

• 5n - 1

Find the explicit formula for the recursive sequence: 2, 6, 18, 54, 162.

• a_n = 2 * 4^(n-1)

• a_n = 2 * 3^(n-1)

• a_n = 2 * 2^(n-1)

• a_n = 2 * 5^(n-1)

Graph the arithmetic sequence: 3, 7, 11, 15, 19.

• The arithmetic sequence is: 3, 7, 11, 15, 19...

• The arithmetic sequence is: 3, 7, 11, 15, 20....

• The arithmetic sequence is: 3, 7, 11, 14, 19....

• The arithmetic sequence is: 3, 7, 11, 16, 19....