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Question

Does the following series form an AP?
0.2,0.22,0.222,0.2222,.....

A
Yes
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B
No
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C
Ambiguous
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D
Data insufficient
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Solution

The correct option is A No
Given series is 0.2,0.22,0.222,0.2222,......
We have, 0.220.2=0.02
0.2220.22=0.002
0.22220.222=0.0002
This shows that the difference of a term and the preceding term is now always same. Hence, the given sequence is not an AP.

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