HSPT practice-sequences

Front

What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

What is the difference between an arithmetic sequence and a geometric sequence?

Back

An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio between consecutive terms.

Front

What is the next number in the sequence: 2, 4, 6, 8, _____?

Back

10

Front

What is the formula for finding the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in the sequence: 5, 8, 11, 14?

Back

The common difference is 3.

Front

What is a pattern in a number sequence?

Back

A pattern is a predictable arrangement of numbers that can be identified and used to determine subsequent numbers in the sequence.

Front

What is the next number in the sequence: 1, 1, 2, 3, 5, _____?

Back

8 (This is the Fibonacci sequence, where each number is the sum of the two preceding ones.)

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common ratio in the sequence: 3, 6, 12, 24?

Back

The common ratio is 2.

Front

What is the next number in the sequence: 10, 20, 30, 40, _____?

Back

50