A&G Sequences Identification

What is an arithmetic sequence?

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

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

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

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

In an arithmetic sequence, what is the common difference?

• The common difference is the sum of all the terms in an arithmetic sequence.

• The common difference is the product of all the terms in an arithmetic sequence.

• The common difference is the average of all the terms in an arithmetic sequence.

• The common difference is the constant value added or subtracted to each term in an arithmetic sequence.

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

• 17

• 20

• 23

• 14

What is a geometric sequence?

• A sequence of numbers in which each term after the first is found by subtracting the previous term by a fixed, non-zero number called the common ratio.

• A sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

• A sequence of numbers in which each term after the first is found by dividing the previous term by a fixed, non-zero number called the common ratio.

• A sequence of numbers in which each term after the first is found by adding the previous term by a fixed, non-zero number called the common ratio.

In a geometric sequence, what is the common ratio?

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

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

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

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

Find the next term in the geometric sequence: 3, 6, 12, 24, ...

• 48

• 72

• 60

• 36

What is a recursive sequence?

• 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 constant value.

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

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

Write the recursive formula for the arithmetic sequence: 2, 5, 8, 11, ...

• a(n) = a(n-1) + 4

• a(n) = a(n-1) + 2

• a(n) = a(n-1) + 3

• a(n) = a(n-1) + 1

Write the recursive formula for the geometric sequence: 3, 6, 12, 24, ...

• a(n) = a(n-1) * 2

• a(n) = 2 * a(n-1)

• a(n) = a(n-1) + 2

• a(n) = a(n-1) + 3

Find the 10th term in the recursive sequence: 1, 3, 7, 15, ...

• 31

• 63

• 127

• 1023