What is the best way to solve the problem of arithmetic progressions of exercise 5.1 of ncert class 10th math. So i want to know the best solution of question Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.(iv) -10, – 6, – 2, 2 …
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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.(iv) -10, – 6, – 2, 2 … Q.4(4)
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Here, the terms and their difference are;
a2 – a1 = (-6)-(-10) = 4
a3 – a2 = (-2)-(-6) = 4
a4 – a3 = (2 -(-2) = 4
Since, an+1 – an or the common difference is same every time.
Therefore, d = 4 and the given numbers are in A.P.
Hence, next three terms are;
a5 = 2+4 = 6
a6 = 6+4 = 10
a7 = 10+4 = 14