Induksi Matematika

Induksi Matematika

11th Grade

10 Qs

quiz-placeholder

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Induksi Matematika

Induksi Matematika

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Indah Nuraini

Used 211+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 3+6+9+12+15+18=....3+6+9+12+15+18=....  

 i=26i+2\sum_{i=2}^6i+2  

 i=163i\sum_{i=1}^63i  

 i=26i21\sum_{i=2}^6i^2-1  

 i=16i(i2+1)\sum_{i=1}^6i\left(i^2+1\right)  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 k=59(2k5)2=....\sum_{k=5}^9\left(2k-5\right)^2=....  

420

445

472

476

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Nilai dari

 k=11005kk=1100(2k1) =....\sum_{k=1}^{100}5k-\sum_{k=1}^{100}\left(2k-1\right)\ =....  

30.500

16.250

15.450

15.250

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui

 k=525(2pk)=0\sum_{k=5}^{25}\left(2-pk\right)=0  , maka nilai  525pk =....\sum_5^{25}pk\ =....  

21

24

42

48

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 52n+3n15^{2n}+3n-1  

Dengan induksi matematika habis dibagi....

9

7

5

4

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 13+23+33+....+n3=14n2(n+1)21^3+2^3+3^3+....+n^3=\frac{1}{4}n^2\left(n+1\right)^2  

Dengan induksi matematika rumus penjumalahan untuk  S(k+1)S\left(k+1\right) adalah....

 14k(k+1)(k+2)\frac{1}{4}k\left(k+1\right)\left(k+2\right)^{ }  

 14(k+1)(k+2)\frac{1}{4}\left(k+1\right)^{ }\left(k+2\right)^{ }  

 14k(k+1)(k+2)2\frac{1}{4}k\left(k+1\right)\left(k+2\right)^2  

 14(k+1)2(k+2)2\frac{1}{4}\left(k+1\right)^2\left(k+2\right)^2  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 Dengan induksi matematika untuk

 S(k+1)S\left(k+1\right)  ,

  i=1n(52i)=4nn2\sum_{i=1}^n\left(5-2i\right)=4n-n^2  

akan menjadi....

 4kk24k-k^2  

 5+4kk25+4k-k^2  

 3+4k+k23+4k+k^2  

 3+2kk23+2k-k^2  

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