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Question
Question 4 (vii)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(vii) 0, - 4, - 8, - 12 …
Question 4 (vii)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(vii) 0, - 4, - 8, - 12 …
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Solution
(vii) 0,−4,−8,−12……
Here,
a2−a1=(−4)−0=−4a3−a2=(−8)−(−4)=−4a4−a3=(−12)−(−8)=−4
⇒an+1−an is same everytime.
Therefore,d=-4 and the given numbers are in A.P.
Next three terms are:
a5=−12−4=−16a6=−16−4=−20a7=−20−4=−24
(vii) 0,−4,−8,−12……
Here,
a2−a1=(−4)−0=−4a3−a2=(−8)−(−4)=−4a4−a3=(−12)−(−8)=−4
⇒an+1−an is same everytime.
Therefore,d=-4 and the given numbers are in A.P.
Next three terms are:
a5=−12−4=−16a6=−16−4=−20a7=−20−4=−24
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