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Verify if the difference between the consecutive terms is the same.
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Experienced mathematics faculty

If the difference between all the consecutive terms is same then they are in AP. For ex 3,7,11,15,19..... Here difference (7-3) =(11-7) =(15-11) and so on.. between all the consecutive terms is 4. So they are in AP.
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Verify if the difference between the consecutive terms is the same.
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Subtract the adjacent numbers of a series and note down the result. If the result of subtraction is same all the subtractions then it is a arithmetic progression series. In other words, An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.... read more
Subtract the adjacent numbers of a series and note down the result. If the result of subtraction is same all the subtractions then it is a arithmetic progression series. In other words, An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant. For example, the sequence 1, 2, 3, 4, ... is an arithmetic progression with common difference 1. read less
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Math Magician, Computer Wizard

Take any three consecutive terms, if the twice of middle term is equal to the sum of remaining two then series is in A.P.
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If d (common difference) is same for different values of n , then the given list of numbers form an AP .
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A sequence is in AP when the difference between all the consecutive pairs is same. Eg:2,5,8,11,14,17,20,23...... difference is (5-2) = (8-5) = (11-8) and so on....
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for arithmetic progression , numbers should be in sequence with common difference.. e.g.- 2 , 4 , 6 , 8 , 10 here common difference between two succesive numbers is 2 ..so they are in A.P.
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If the difference between the two consecutive terms is equal to the difference between next two consecutive terms
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find the difference between the consecutive terms and see if they are equal
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