Match the sequence with the given nth term with its graph. an = 10 /(n + 1) (a)an(b)an100.60.40.2-22 4.6°8 °10-0.4-0.6-0.8-1.0 +•4 6 8 10(c)an(d)1081....+> n2 4 6 8 104-1+.2 4 6 8 102.2.2.6.4.

Name: Match the sequence with the given nth term with its graph. an = 10 /(n
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Description: Match the sequence with the given nth term with its graph. an = 10 /(n + 1) (a)an(b)an100.60.40.2-22 4.6°8 °10-0.4-0.6-0.8-1.0 +•4 6 8 10(c)an(d)1081....+> n2 4 6 8 104-1+.2 4 6 8 102.2.2.6.4.

The Given sequence is an=10(n+1) the graph of an is

Answered: (a) an (b) an 10 0.6 0.4 0.2 -2 2 4.6°8…

Math

Calculus

(a) an (b) an 10 0.6 0.4 0.2 -2 2 4.6°8 °10 -0.4 -0.6 -0.8 -1.0 +• 4 6 8 10 (c) an (d) 10 8 1 .... +> n 2 4 6 8 10 4 -1+. 2 4 6 8 10 2. 2. 2. 6. 4.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 70E

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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

Topic Video

Question

Match the sequence with the given nth term with its graph. a_n = 10 /(n + 1)

(a)
an
(b)
an
10
0.6
0.4
0.2
-2
2 4.6°8 °10
-0.4
-0.6
-0.8
-1.0 +•
4 6 8 10
(c)
an
(d)
10
8
1
....
+> n
2 4 6 8 10
4
-1+.
2 4 6 8 10
2.
2.
2.
6.
4.

Expert Solution

Step 1

The Given sequence is $a_{n} = \frac{10}{(n + 1)}$

the graph of $a_{n} i s$

Step 2

$a_{n} = \frac{10}{(n + 1)}$

n	$a_{n} = \frac{10}{n + 1}$
n=0	$a_{0} = \frac{10}{0 + 1} = 10$
n=1	$a_{1} = \frac{10}{1 + 1} = 5$
n=3	$a_{3} = \frac{10}{3 + 1} = \frac{10}{4} = 2.5$
n=5	$a_{5} = \frac{10}{5 + 1} = \frac{10}{6} = 1.67$

n=7	$a_{7} = \frac{10}{7 + 1} = \frac{10}{8} = 1.25$
n=9	$a_{9} = \frac{10}{9 + 1} = \frac{10}{10} = 1$

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