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Q : 4     Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.

            (ix)  \small 1,3,9,27,...

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Given series is
\small 1,3,9,27,...
Now,
the first term to this series is = 1
Now,
a_1 = 1 \ \ and \ \ a_2 = 3 \ \ and \ \ a_3 = 9 \ \ and \ \ a_4 = 27
a_2-a_1 = 3-1=2
a_3-a_2 =9-3=6

We can clearly see that the difference between terms are not  equal  
Hence, given series is not an AP
 

Posted by

Gautam harsolia

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