Chapter 12: Q. 1 (page 839)

Write down the first five terms of the sequence.
$\{S_{n}\} = \{\frac{n^{2} - 1}{n + 8}\}$

Short Answer

Expert verified

First five terms of the sequence are $0, \frac{3}{10}, \frac{8}{11}, \frac{5}{4}, \frac{24}{13} .$

Step by step solution

Given information:

Consider , $\{S_{n}\} = \{\frac{n^{2} - 1}{n + 8}\}$

To find the values of $S_{1}, S_{2}, S_{3}, S_{4} a n d S_{5} .$

To find S1 :

Put $n = 1$ ,

role="math" localid="1647414124167" $S_{1} = \frac{1^{2} - 1}{1 + 8} = \frac{0}{9} = 0$

To find S2 :

Put $n = 2$ ,

$S_{2} = \frac{2^{2} - 1}{2 + 8}$

$= \frac{4 - 1}{10} = \frac{3}{10}$

To find S3 :

Put $n = 3$ ,

$S_{3} = \frac{3^{2} - 1}{3 + 8} = \frac{9 - 1}{11} = \frac{8}{11}$

To find S4 :

Put $n = 4$ ,

$S_{4} = \frac{4^{2} - 1}{4 + 8} = \frac{16 - 1}{12} = \frac{15}{12} = \frac{5}{4}$

To find S5 :

Put $n = 5,$

$S_{5} = \frac{5^{2} - 1}{5 + 8} = \frac{25 - 1}{13} = \frac{24}{13}$

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Write down the first five terms of the sequence.
$\{S_{n}\} = \{\frac{n^{2} - 1}{n + 8}\}$

Short Answer

Step by step solution

Given information:

To find S1 :

To find S2 :

To find S3 :

To find S4 :

To find S5 :

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Write down the first five terms of the sequence.Sn=n2-1n+8

Short Answer

Step by step solution

Given information:

To find S1 :

To find S2 :

To find S3 :

To find S4 :

To find S5 :

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Geometry

Applied Mathematics

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Write down the first five terms of the sequence.
$\{S_{n}\} = \{\frac{n^{2} - 1}{n + 8}\}$