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Arithmetic Progressions

Question
CBSEENMA10007427

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
2, 4, 8, 16, . . .

Solution

2, 4, 8, 16, . . .
a- a= 4 - 2 = 2
a- a= 8 - 4 = 4 
a- a3  = 16 - 8 = 8
Here,   a- aspace space not equal to a- a
So the given list of numbers does not from an A .P.