12,20,19,26,....,31,30
Answers
Concept
A pattern is an arrangement of lines or shapes, especially a design in which the same shape is repeated at regular intervals over a surface.
It is not only for shapes or lines but also of mathematical terms.
Given
12,20,19,26,....,31,30
Find
The number which will fit in the blank.
Explanation
The given numbers are according to a pattern.
first number=12
second number=12+8
third number=20-1
fourth number=19+7
fifth number=26-1
sixth number=25+6
seventh number=31-1
The pattern is such that in first add 8 and then in second number-1 in third 8-1 then in other-1 and so on
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Concept:
A number series depicts a common relationship between the set of numbers which are given in the series. And when the arrangement of numbers is repeated in a common rule, it is called as number pattern.
Given:
12,20,19,26,...., 31,30
Find:
The missing number.
Solution:
From the above number pattern we can observe that,
• 8 is added to 12 to give the second number which is 20.
• 1 is subtracted from 20 to give the third number which is 19.
• 7 is added to 19 to give the fourth number which is 26
• 1 is subtracted from 31 to give the seventh number which is 30.
Now if we subtract 1 from 26 we get our fifth number as 25,
Further if we add 6 to 25 we get our sixth number as 31 and the series continues.
Hence we conclude that our fifth number is 25.
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