Arithmetic/Geometric Sequences

Front

What is the common difference in an arithmetic sequence?

Back

The common difference (d) is the distance from one term to the next in an arithmetic sequence.

Front

What type of sequence is formed when the terms differ by the same non-zero number?

Back

Arithmetic sequence.

Front

What is the explicit formula for the arithmetic sequence 2, 4, 6, 8...?

Back

2n, where n is the term number.

Front

What are the next three terms in the sequence 3, 7, 11, 15?

Back

19, 23, 27.

Front

How do you find the 16th term in the arithmetic sequence 3, 7, 11, 15...?

Back

The 16th term is 25.

Front

Define 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 to find the nth term of an arithmetic sequence?

Back

The nth term (a_n) 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

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?

Back

The 10th term is 32.

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

How do you identify the common difference in a sequence?

Back

Subtract any term from the term that follows it.