Sequences

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 common difference in an arithmetic sequence?

Back

The common difference is the fixed amount added to each term to get the next term in the sequence.

Front

Identify the common difference in the sequence: 10, 15, 20, 25,...

Back

d = 5

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 does 'r' represent in a geometric sequence?

Back

In a geometric sequence, 'r' represents the common ratio.

Front

Identify the common ratio in the sequence: 3, 6, 12, 24,...

Back

r = 2

Front

Which sequence is NOT an arithmetic sequence? 12, 18, 24, 30,...; 10, 3, -4, -11,...; 2, 4, 8, 16,...; 16, 20, 24, 28,...

Back

2, 4, 8, 16,... is NOT an arithmetic sequence.

Front

Find the common difference: 29, 21, 13, 5,...

Back

d = -8

Front

Determine the next term in the geometric sequence: 5, 25, 125,...

Back

625

Front

Determine the common difference of the sequence: 45, 39, 33, 27,...

Back

d = -6