What is the tricky method for arithmetic progressions for exercise 5.1 for class 10th math, how i solve the best question of class 10th Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.(x) a, 2a, 3a, 4a …
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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.(x) a, 2a, 3a, 4a … Q14(10)
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Here,
a2 – a1 = 2a–a = a
a3 – a2 = 3a-2a = a
a4 – a3 = 4a-3a = a
Since, an+1 – an or the common difference is same every time.
Therefore, d = a and the given series forms a A.P.
Hence, next three terms are;
a5 = 4a+a = 5a
a6 = 5a+a = 6a
a7 = 6a+a = 7a