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Question 4 (x)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(x)
a, 2a, 3a, 4a 


Solution

(x) a,2a,3a,4a
Here, 
a2a1=2aa=aa3a2=3a2a=aa4a3=4a3a=a
an+1an is same everytime. 
Therefore, d=a and the given numbers are in A.P.
Next three terms are:
a5=4a+a=5aa6=5a+a=6aa7=6a+a=7a

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