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Ex9.1 , 13 Write the first five terms of the following sequence and obtain the corresponding series: a1 = a2 = 2,an = an-1 – 1, n > 2 It is given that a1 = 2 a2 = 2 For a3 onwards, we have to use formula an = an-1 – 1 Putting n = 3 in (1) a3 = a3–1 – 1 a3 = a2 – 1 = 2 – 1 = 1 Putting n = 4 in (1) a4 = a4 – 1 – 1 a4 = a3 – 1 = 1 – 1 = 0 Putting n = 5 in (1) a4 = a5 – 1 – 1 a5 = a4 – 1 = 0 – 1 = -1 Hence, the first five terms of the sequence are 2, 2, 1, 0, and –1. The corresponding series is 2 + 2 + 1 + 0 + (–1) + …

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo