# Complete the pattern 0.02 , 0.2

Complete the pattern 0.02 , 0.2

200, 2000, 20000

keep adding a zero to every number

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

Further Explanation;SequenceA 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;

Where is the first term and d is the common difference.

Geometric sequenceA 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;

where is the first term and r is the common ratio

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

Level: High school

Subject: Mathematics

Topic: Sequence and series

Sub-topic: Geometric sequence

It goes like this 0.02 then 0.2 and then 2
Just multiply the number by 10
0.02
0.2
2
20
200
2000
The pattern that is being referenced in this question is most likely one in which the decimals are multipled by ten. This will go on infinitely, although the next five numbers in the sequence would be 2.0, 20.0, 200.0, 2000.0, 20,000.0

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