Subscribe to our Youtube Channel - https://you.tube/teachoo
Example 3 - Chapter 9 Class 11 Sequences and Series
Last updated at May 29, 2018 by Teachoo
Transcript
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
Example 2
Example 3 You are here
Example 4
Example 5
Example 6 Important
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14 Important
Example 15 Important
Example 16
Example 17 Important
Example 18 Important
Example 19 Important Not in Syllabus - CBSE Exams 2021
Example 20 Not in Syllabus - CBSE Exams 2021
Example 21 Important
Example 22
Example 23 Important
Example 24 Important
Chapter 9 Class 11 Sequences and Series
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.