This question is from NCERT Book class 10th Chapter no.5 Exersice 5.1 Q. 7(vii). In the above Question you have to find that is the above series is an A.P or not if it is an A.P then find common difference and write next three terms.

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# In this question find is the given series forms an A.P or not. If yes then find the c.d and the next four terms of the series. 0, -4, -8, -12 …

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Solution:-0, -4, -8, -12 …

The difference of the above data is-a_{2}–a_{1}= (-4)-0 = -4a_{3}–a_{2}= (-8)-(-4) = -4a_{4}–a_{3}= (-12)-(-8) = -4The common difference is same every time.

So,

d= -4 and this series forms a A.P.The next three terms:-

a_{5}= -12-4 = -16a_{6}= -16-4 = -20a_{7}= -20-4 = -24