The best way for solving the problem of arithmetic progressions of exercise 5.1 for class 10th math, what is the best way to solve this question. 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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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 … Q.4(7)
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Here,
a2 – a1 = (-4)-0 = -4
a3 – a2 = (-8)-(-4) = -4
a4 – a3 = (-12)-(-8) = -4
Since, an+1 – an or the common difference is same every time.
Therefore, d = -4 and the given series forms a A.P.
Hence, next three terms are;
a5 = -12-4 = -16
a6 = -16-4 = -20
a7 = -20-4 = -24