Example 3 - Chapter 8 Class 11 Sequences and Series
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 3 Let the sequence an be defined as follows: a1 = 1, an = an – 1 + 2 for n ≥ 2. Find first five terms and write corresponding series. It is given- that a1 = 1, For a2 and onward we use this formula. an = an – 1 + 2 for n ≥ 2 Putting n = 2 in (1) a2 = a2 – 1 + 2 a2 = a1 + 2 = 1 + 2 = 3 Putting n = 3 in (1) a3 = a3 – 1 + 2 a3 = a2 + 2 = 3 + 2 = 5 Putting n = 4 in (1) a4 = a4 – 1 + 2 a4 = a3 + 2 = 5 + 2 = 7 Putting n = 5 in (1) a5 = a5 – 1 + 2 a5 = a4 + 2 = 7 + 2 = 9 Hence, the first five terms are 1, 3, 5, 7 and 9. The corresponding series is 1 + 3 + 5 + 7 + 9 +...
Examples
Example 1 (ii)
Example 2
Example 3 Important You are here
Example 4
Example 5 Important
Example 6
Example 7 Important
Example 8
Example 9 Important
Example 10 Important
Example 11
Example 12 Important
Example 13 Important
Example 14
Question 1
Question 2
Question 3 Important
Question 4
Question 5 Important
Question 6 Important
Question 7
Question 8 Important
Question 9
Question 10 Important
About the Author
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