Cbse Class 11 Maths Ncert Solutions Chapter 9 Pdf
NCERT Solutions Class 11 Maths Chapter 9 Sequences And Series – Here are all the NCERT solutions for Class 11 Maths Chapter 9. This solution contains questions, answers, images, explanations of the complete chapter 9 titled Of Sequences And Series taught in Class 11. If you are a student of Class 11 who is using NCERT Textbook to study Maths, then you must come across chapter 9 Sequences And Series After you have studied lesson, you must be looking for answers of its questions. Here you can get complete NCERT Solutions for Class 11 Maths Chapter 9 Sequences And Series in one place.
NCERT Solutions Class 11 Maths Chapter 9 Sequences And Series
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For a better understanding of this chapter, you should also see summary of Chapter 9 Sequences And Series , Maths, Class 11.
Class | 11 |
Subject | Maths |
Book | Mathematics |
Chapter Number | 9 |
Chapter Name | Sequences And Series |
NCERT Solutions Class 11 Maths chapter 9 Sequences And Series
Class 11, Maths chapter 9, Sequences And Series solutions are given below in PDF format. You can view them online or download PDF file for future use.
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NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series Download
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Question & Answer
Q.1: Write the first five terms of the sequences whose \(n^{th}\) term is \(a_{n}=n(n+2)\).
Ans : \(a_{n}=n(n+2)\) Substituting n = 1, 2, 3, 4, and 5, we obtain \(\begin{aligned} a_{1} &=1(1+2)=3 \\ a_{2} &=2(2+2)=8 \\ a_{3} &=3(3+2)=15 \\ a_{4} &=4(4+2)=24 \\ a_{5} &=5(5+2)=35 \end{aligned}\) Therefore, the required terms are 3, 8, 15, 24, and 35.
Q.2: Write the first five terms of the sequences whose \(n^{th}\) term is \(a_{n}=\frac{n}{n+1}\).
Ans : \(a_{n}=\frac{n}{n+1}\) Substituting n = 1, 2, 3, 4, 5, we obtain \(a_{1}=\frac{1}{1+1}=\frac{1}{2}, a_{2}=\frac{2}{2+1}=\frac{2}{3}, a_{3}=\frac{3}{3+1}=\frac{3}{4}, a_{4}=\frac{4}{4+1}=\frac{4}{5}, a_{5}=\frac{5}{5+1}=\frac{5}{6}\) Therefore, the required terms are \(\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \text { and } \frac{5}{6}\)
Q.3: Write the first five terms of the sequences whose \(n^{th}\) term is \(a_{n}=2^{n}\)
Ans : \(a_{n}=2^{n}\) Substituting n = 1, 2, 3, 4, 5, we obtain \(\begin{array}{l}{a_{1}=2^{1}=2} \\ {a_{2}=2^{2}=4} \\ {a_{3}=2^{3}=8} \\ {a_{4}=2^{4}=16} \\ {a_{5}=2^{5}=32}\end{array}\) Therefore, the required terms are 2, 4, 8, 16, and 32.
Q.4: Write the first five terms of the sequences whose \(n^{th}\) term is \(a_{n}=\frac{2 n-3}{6}\)
Ans : Substituting n = 1, 2, 3, 4, 5, we obtain \(\begin{aligned} a_{1} &=\frac{2 \times 1-3}{6}=\frac{-1}{6} \\ a_{2} &=\frac{2 \times 2-3}{6}=\frac{1}{6} \\ a_{3} &=\frac{2 \times 3-3}{6}=\frac{3}{6}=\frac{1}{2} \\ a_{4} &=\frac{2 \times 4-3}{6}=\frac{5}{6} \\ a_{5} &=\frac{2 \times 5-3}{6}=\frac{7}{6} \end{aligned}\) Therefore, the required terms are \(\frac{-1}{6}, \frac{1}{6}, \frac{1}{2}, \frac{5}{6}, \text { and } \frac{7}{6}\)
Q.5: Write the first five terms of the sequences whose \(n^{th}\) term is \(a_{n}=(-1)^{n-1} 5^{n+1}\)
Ans : Substituting n = 1, 2, 3, 4, 5, we obtain \(\begin{array}{l}{a_{1}=(-1)^{1-1} 5^{1+1}=5^{2}=25} \\ {a_{2}=(-1)^{2-1} 5^{2+1}=-5^{3}=-125} \\ {a_{3}=(-1)^{3-1} 5^{3+1}=5^{4}=625} \\ {a_{4}=(-1)^{5-1} 5^{4+1}=-5^{5}=-3125} \\ {a^{5}=(-1)^{5-1} 5^{5+1}=5^{6}=15625}\end{array}\) Therefore, the required terms are 25, –125, 625, –3125, and 15625.
NCERT / CBSE Book for Class 11 Maths
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Cbse Class 11 Maths Ncert Solutions Chapter 9 Pdf
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