Sequences Review

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

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

Back

The formula is t(n) = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.

Front

How do you identify an arithmetic sequence?

Back

An arithmetic sequence can be identified by checking if the difference between consecutive terms is the same.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers 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 formula for the nth term of a geometric sequence?

Back

The formula is t(n) = a * r^(n-1), where 'a' is the first term and 'r' is the common ratio.

Front

How do you identify a geometric sequence?

Back

A geometric sequence can be identified by checking if the ratio of consecutive terms is the same.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount added to each term to get the next term.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the constant factor by which each term is multiplied to get the next term.

Front

How do you write a percentage increase as a multiplier?

Back

To write a percentage increase as a multiplier, convert the percentage to a decimal and add 1. For example, a 0.5% increase is 1.005.

Front

What is a recursive formula?

Back

A recursive formula defines the terms of a sequence using previous terms. For example, t(n+1) = t(n) + d.