Sequences! - Missing Numbers & Term-to-Term Rule!

Front

What is a term-to-term rule in a sequence?

Back

A term-to-term rule describes how to get from one term in a sequence to the next term, usually expressed as an operation (e.g., addition or subtraction).

Front

Given the sequence 8, 11, 14, 17, what is the term-to-term rule?

Back

+3

Front

What is the next term in the sequence 7, 5, 3, 1?

Back

-1

Front

What is the term-to-term rule for the sequence 34, 28, 22, 16?

Back

-6

Front

What is the next term in the sequence 4, 13, 22, 31?

Back

40

Front

What is the term-to-term rule for the sequence 15, 21, 27, 33?

Back

+6

Front

How do you find the next term in a decreasing sequence?

Back

Identify the pattern of decrease (e.g., subtraction) and apply it to the last term.

Front

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

Back

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

Front

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

Back

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

Front

How can you determine if a sequence is arithmetic?

Back

Check if the difference between consecutive terms is constant.