#### Solutions of Chapter 9 **Sequences** **and** **Series** of Class 11 NCERT book available free. All exercise questions, examples, miscellaneous are done step by step with detailed explanation for your understanding. **Sequence** is any group of numbers with some pattern. Like 2, 4, 8, 16, 32, 64, 128, 256, .... What a **sequence** is - and what is finite, **infinite**. To solve the **problems** related to **sequences and series**, we need to identify the pattern being followed in the **sequence** or **series** of alphabets/numbers. ... You will learn to identify the patterns as you **practice** more and more questions. **Practice** Exercise 1: Find the wrong term in the following number **series**. 4 , 5.1 , 7.3 , 10.6 , 15 , 20 , 27.1. It can be noticed by carefully studying the terms of the **sequence** that the difference between each consecutive term remains the same. For example: 5 - 2 = 3. 8 - 5 = 3. 11 - 8 = 3. So, the next will be at a difference of three from the last term. Since the last term of the **sequence** is 11. The next terms will be 14.

**practice**

**problems**similar to those that would appear on their homework. Topics include: Review of the Methods of Factoring. Factoring Complicated Expressions. Factoring the Sum or Difference of Cubes. The first three terms of a

**sequence**are given by 5x + 8, – 2x + 1, x– 4. (a) When x = 11 ,

**show**that the first three terms form the start of a geometric

**sequence**, and state the value of the common ratio. (b) Given that the entire

**sequence**is geometric for x = 11. (i) state why the associated

**series**has a sum to

**infinity**. 17Calculus - 100

**Infinite**

**Series**

**Practice**

**Problems**

**Infinite**

**Sequences**

**and Series**This section is intended for all students who study calculus and considers about 70 typical

**problems**on

**infinite**

**sequences**

**and series**, fully solved step-by-step. Each page includes appropriate definitions and formulas followed by solved

**problems**listed in order of.