can somebody give me a step to step for the red circled steps for understanding what is happening?thank you in advance! an.ThemHenceen=it370...4m²et3-6using (ES) definition1am - 21 = 11/1/21using+2an =etm-10(an) convergen to 21an-21 < E(an)5m⇒ m² > {/1/24ㅕchoose m = [/]+* ny m(n ==n2n4+netmto2(1/1/2+2) = 211convergen;-)m=3114A2 LEरहn25 -1| Cm - 5/2 1 = // | 5n2 + ½(cm) converges to 5(E-S) definitionmy / E+12to 22n3 +n²2/21310 n²³-2n ² - 5 (2m² + m²)2 (2n³+ m²)1 =7m²32.2 (2m³ +m²)23+175/2ㅕ• 1²₂-5/<инечеHence (Cn) converges to 5/21<६<2 E20+12m) 27/1ㅕ7 m 2 - 24[ 17/18 - 2] + 148

Take the LCM of the denominator first and then go ahead.

Answered: ) def 1 = = 5m | 3 2 m 233 + m²…

) def 1 = = 5m | 3 2 m 233 + m² 10m3-232-5 (2m3,m2) - hld - N/W 2(2m3+m2) - 1 1 23+1 ㅋ 1 - 7m2 2(2m3+m2) 1 <③ 1 20+1 < 오늘

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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Question

can somebody give me a step to step for the red circled steps for understanding what is happening?

thank you in advance!

an.
Them
Hence
en=
it
370
...
4
m²
et
3-6
using (ES) definition
1am - 21 = 11/1/21
using
+2
an =
et
m-10
(an) convergen to 2
1an-21 < E
(an)
5m
⇒ m² > {/1/2
4
ㅕ
choose m = [/]+
* ny m
(n =
=
n
2n4+n
et
mto
2
(1/1/2+2) = 2
11
convergen
;-)m
=
3
11
4
A2 LE
रह
n2
5 -
1
| Cm - 5/2 1 = // | 5n
2 + ½
(cm) converges to 5
(E-S) definition
my / E
+1
2
to 2
2n3 +n²
2/21
3
10 n²³-2n ² - 5 (2m² + m²)
2 (2n³+ m²)
1 =7m²
32.
2 (2m³ +m²)
23+1
7
5/2
ㅕ
• 1²₂-5/<
инече
Hence (Cn) converges to 5/2
1
<६
<2 E
20+1
2m) 27/1
ㅕ
7 m 2 - 2
4
[ 17/18 - 2] + 1
48

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

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