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Question

The series 2,6... to n terms an AP.
State whether true or false.


A

Yes

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B

No

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Solution

The correct option is B

No


We cannot determine the nature of progression for this series.
For example, if the series to be considered an AP then the next term should be 10.
If the next term is 18, it is considered a Geometric Progression, where the next term of the progression is obtained by multiplying the previous number by a common number.
So, the nature of progression for the series cannot be determined by two terms. At least three terms are required to comment anything on the nature of the progression of a series or sequence.


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