Question

Complete the patterns 0.02 0.2 blank 20 blank blank

Answer 1

The Complete pattern is; 0.02, 0.2, 2, 20, 200, 2000

Further Explanation;

Sequence

• A sequence refers to a set of numbers, called terms, arranged in some particular order.
• There are two major types of sequences.

Arithmetic sequence

• An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference (d).

For example;

2,4,6,8,10,12,.............. is an arithmetic sequence with a common difference of 2.

• The nth term of an arithmetic series is therefore given by;

$a_{n} =a_{1} + (n-1)d$

Where $a_{1}$ is the first term and d is the common difference.

Geometric sequence

• A geometric sequence is a sequence with the ratio between two consecutive terms constant.
• The sequence follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.

For example;

0.02, 0.2, 2, 20, 200, 2000, ........... is a geometric sequence in which the common ratio is 10.

The nth term of a geometric sequence is given by;

$a_{n} =a_{1} r^{n-1}$

where $a_{1}$ is the first term and r is the common ratio

Key words: sequence, arithmetic sequence, geometric sequence, common difference, common ratio

Learn more about;

• Arithmetic sequence: brainly.com/question/11718753
• Geometric sequence: brainly.com/question/9300199
• Example of a geometric sequence: brainly.com/question/10601401

Level: High school

Subject: Mathematics

Topic: Sequence and series

Sub-topic: Geometric sequence

Answer 2

Just multiply the number by 10
0.02
0.2
2
20
200
2000