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Question

Check if the series is an AP. Find the common difference d and write three more terms of the the following series.
2,4,8,16,....

A
Common difference: 2 and Other three terms are: 32,64,128
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B
Common difference: 4 and Other three terms are: 24,32,40
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C
Common difference: 8 and Other three terms are: 20,24,28
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D
None of these
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Solution

The correct option is A None of these
Given series is 2,4,8,16,.....

In an AP series, the difference between the consecutive terms remain same:
a2a1=42=2

a3a2=84=4
a3a2a2a1
This shows that the difference of a term and the preceding terms is not always same. Hence, the given sequence is not an AP.

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