Which of the following is not true for the given sequence:
$0.2, 0.22, 0.222, 0.2222, . . . .$

Not an AP

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Yes it is an AP and d

= 0.1

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Yes it is an AP and d

= 0.01

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Yes it is an AP and d

= 0.20

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Solution

The correct options are
A Yes it is an AP and d $= 0.01$
C Yes it is an AP and d $= 0.1$
D Yes it is an AP and d $= 0.20$
Given series is $0.2, 0.22, 0.222, 0.2222, . . . . . .$
We have, $0.22 - 0.2 = 0.02$
$0.222 - 0.22 = 0.002$
$0.2222 - 0.222 = 0.0002$
This shows that the difference of a term and the preceding term is not always same. So, the common difference is not same every time. Hence, the given sequence is not an AP.

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