is 1/2,1/4,1/6,1/8 in ap?
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TOPIC :- ARITHMETIC PROGRESSION
CONCEPT :- Terms are in A.P. if the difference between any two consecutive term is same.This difference is called common difference, denoted by 'd'.
For example :- 1, 5 , 9 ,13, 17 are in A.P. because the common difference between any two consecutive term is 4.
Now, given term = 1/2, 1/4, 1/6 , 1/8 is not in A.P. This is because the common difference between any two consecutive term is not same.
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Question : is 1/2,1/4,1/6,1/8 in ap?
Answer : No
Step-by-step explanation:
1/2 , 1/4 , 1/6 , 1/8
If the series is in AP their difference must be equal.
So Series be a,b,c,d
So b-a = c-b = d=c
=> 1/4 - 1/2 = - 1/4
1/6 - 1/4 = - 1/12
1/8 - 1/6 = - 1/24
As the common difference is not same in all cases .So This series is not in AP.
Hope helps u and mark brainliest plz
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