In exercise 5.1 of arithmetic progressions of ncert of class 10th How i solve this question in easy way. Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.(iii) -1.2, -3.2, -5.2, -7.2 …
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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.(iii) -1.2, -3.2, -5.2, -7.2 … Q.4(3)
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Here,
a2 – a1 = (-3.2)-(-1.2) = -2
a3 – a2 = (-5.2)-(-3.2) = -2
a4 – a3 = (-7.2)-(-5.2) = -2
Since, an+1 – an or common difference is same every time.
Therefore, d = -2 and the given series are in A.P.
Hence, next three terms are;
a5 = – 7.2-2 = -9.2
a6 = – 9.2-2 = – 11.2
a7 = – 11.2-2 = – 13.2