المتتابعات الهندسية1 Quiz: 7 Practice Questions

7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

ما اساس المتتابعة
-10,50,-250,...

-5

5

2

20

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

أوجد قيمة الحد الأول إذا كان
$a_2=8\ ,\ r=2$

16

4

6

10

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

أوجد مجموع المتسلسلة الهندسية
$a_1=2000\ ,\ a_n=125,\ r=\frac{1}{2}$

3750

650

275

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

أوجد قيمة
$\sum_{k=4}^{12}=\frac{1}{4}\left(3\right)^{\left(k-1\right)}$

66426.75

55426.75

64426.74

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

حدد ما إذا كانت المتتسلسلة اللانهائية متقاربة أم متباعدة
0.1+0.01+0.001+...

متباعدة

متقاربة

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

اوجد مجموع المتسلسلة
100+50+25+...

175

$\frac{200}{3}$

200

ليس لها مجموع

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

ما الحد التالي من المتتابعة الهندسية
$10,\ \frac{5}{2},\ \frac{5}{8},\frac{5}{32},..$

$\frac{5}{32}$

$\frac{5}{8}$

$\frac{13}{32}$

$\frac{5}{128}$

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المتتابعات الهندسية1

ما اساس المتتابعة -10,50,-250,...

أوجد قيمة الحد الأول إذا كان a2=8 , r=2a_2=8\ ,\ r=2a2​=8 , r=2

أوجد مجموع المتسلسلة الهندسية a1=2000 , an=125, r=12a_1=2000\ ,\ a_n=125,\ r=\frac{1}{2}a1​=2000 , an​=125, r=21​

أوجد قيمة ∑k=412=14(3)(k−1)\sum_{k=4}^{12}=\frac{1}{4}\left(3\right)^{\left(k-1\right)}k=4∑12​=41​(3)(k−1)

حدد ما إذا كانت المتتسلسلة اللانهائية متقاربة أم متباعدة0.1+0.01+0.001+...

اوجد مجموع المتسلسلة100+50+25+...

ما الحد التالي من المتتابعة الهندسية 10, 52, 58,532,..10,\ \frac{5}{2},\ \frac{5}{8},\frac{5}{32},..10, 25​, 85​,325​,..

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ما اساس المتتابعة
-10,50,-250,...

أوجد قيمة الحد الأول إذا كان
$a_2=8\ ,\ r=2$

أوجد مجموع المتسلسلة الهندسية
$a_1=2000\ ,\ a_n=125,\ r=\frac{1}{2}$

أوجد قيمة
$\sum_{k=4}^{12}=\frac{1}{4}\left(3\right)^{\left(k-1\right)}$

حدد ما إذا كانت المتتسلسلة اللانهائية متقاربة أم متباعدة
0.1+0.01+0.001+...

اوجد مجموع المتسلسلة
100+50+25+...

ما الحد التالي من المتتابعة الهندسية
$10,\ \frac{5}{2},\ \frac{5}{8},\frac{5}{32},..$