Quiz about NOTASI SIGMA

Question 1

Nilai $$\sum_{a=2}^5\left(2k-5\right)=.....$$

Accepted Answer

8

Answer

23

Answer

7

Answer

13

Answer

3

Question 2

Diketahui $$\sum_{n=5}^{20}pi=10$$ . Nilai $$\sum_{n=5}^{20}\left(2+pi\right)$$ adalah .....

Accepted Answer

42

Answer

32

Answer

22

Answer

52

Answer

12

Question 3

Hasil dari $$\sum_{k=2}^6k$$ =

Accepted Answer

20

Answer

17

Answer

19

Answer

18

Answer

21

Question 4

Notasi Sigma dari 2 + 4+ 8 + 16 + 32 + 64 + 128 adalah

Accepted Answer

$$\sum_{x=1}^72^k$$

Answer

$$\sum_{x=4}^92^x$$

Answer

$$\sum_{a=1}^3\left(2-a\right)$$

Answer

$$\sum_{k=0}^7\left(k+3\right)$$

Answer

$$\sum_{x=1}^7\left(2x\right)$$

Question 5

Notasi sigma yang ekuivalen dengan $$\sum_{k=6}^{12}\left(4k^2+5\right)\ $$ adalah .....

Accepted Answer

$$\sum_{k=2}^8\left(4k^2+32k+69\right)$$

Answer

$$\sum_{k=1}^74k\left(k+8\right)$$

Answer

$$\sum_{k=1}^7\left(4k^2+32k+49\right)$$

Answer

$$\sum_{k=2}^84k\left(k-8\right)$$

Answer

$$\sum_{k=2}^8\left(4k^2-32k+49\right)$$

Question 6

Ekuivalen dari $$\sum_{k=2}^7\left(2k+3\right)+\sum_{k=-1}^4\left(5k+6\right)$$ adalah ....

Accepted Answer

$$\sum_{k=1}^6\left(7k+1\right)$$

Answer

$$\sum_{k=1}^6\left(7k-3\right)$$

Answer

$$\sum_{k=1}^6\left(7k-2\right)$$

Answer

$$\sum_{k=1}^6\left(7k+9\right)$$

Answer

$$\sum_{k=1}^6\left(7k+12\right)$$

Question 7

$$\sum_{n=20}^{130}2^{n-30}+\sum_{n=71}^{130}2^{n+30}$$ = .....

Accepted Answer

$$\sum_{n=1}^{171}2^{n-11}$$

Answer

$$\sum_{n=1}^{171}2^{n-10}$$

Answer

$$\sum_{n=1}^{171}2^{n+11}$$

Answer

$$\sum_{n=1}^{171}2^{n+12}$$

Answer

$$\sum_{n=1}^{171}2^{n-13}$$

Question 8

$$\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+.....+\frac{1}{100}=....$$

Accepted Answer

$$\sum_{n=4}^{100}\frac{1}{n}$$

Answer

$$\sum_{n=4}^{100}\frac{1}{n+3}$$

Answer

$$\sum_{n=4}^{100}\frac{1}{n-3}$$

Answer

$$\sum_{n=1}^{97}\frac{1}{n+10}$$

Answer

$$\sum_{n=1}^{97}\frac{1}{n-10}$$

Question 9

$$\sum_{i=1}^{10}10=....$$

Accepted Answer

100

Answer

50

Answer

10

Answer

1

Answer

20

Question 10

$$\sum_{i=7}^73i=.....$$

Accepted Answer

21

Answer

15

Answer

18

Answer

24

Answer

27

Question 11

Diketahui $$1+2+3+4+....+n=\frac{1}{2}n\left(n+1\right)$$ . Hasil dari $$1+2+3+4+....+n+\left(n+1\right)$$ adalah ....

Accepted Answer

$$\frac{1}{2}\left(n+1\right)\left(n+2\right)$$

Answer

$$\frac{1}{2}n\left(n+2\right)$$

Answer

$$\frac{1}{2}\left(n+1\right)\left(n+3\right)$$

Answer

$$\left(n+1\right)\left(n+2\right)$$

Answer

$$\left(n+2\right)\left(n+3\right)$$

Question 12

Diketahui hasil dari $$2^3+4^3+6^3+...+\left(2n\right)^3=2n^2\left(n+1\right)^2$$ . Untuk membuktikan kebenaran rumus tersebut,untuk $$n=k+1$$ harus dibuktikan bahwa $$2^3+4^3+6^3+...+\left(2k\right)^3+\left(2k+2\right)^3$$ sama dengan .....

Accepted Answer

$$2\left(k+1\right)^2\left(k+2\right)^2$$

Answer

$$2k^2\left(k+2\right)^2$$

Answer

$$2k^2\left(2k+2\right)^2$$

Answer

$$2\left(k+1\right)^2\left(k+3\right)^2$$

Answer

$$2\left(k+2\right)^2\left(k+3\right)^2$$

Question 13

Dengan pembuktian induksi matematika, rumus U_nyang dapat dibagi 3 (habis dibagi 3) adalah .....

Accepted Answer

$$U_n=n^3+2n$$

Answer

$$U_n=n^3+n^2$$

Answer

$$U_n=n^3+2n^2$$

Answer

$$U_n=n^3+3n$$

Answer

$$U_n=n^3+4n$$

Question 14

Diketahui $$P\left(n\right)=5^n+3$$ . Pernyataan yang benar tentang $$P\left(n\right)$$ adalah ....

Accepted Answer

$$P\left(n\right)$$ habis dibagi 4

Answer

$$P\left(n\right)$$ habis dibagi 3

Answer

$$P\left(n\right)$$ habis dibagi 5

Answer

$$P\left(n\right)$$ habis dibagi 6

Answer

$$P\left(n\right)$$ dibagi 7

Question 15

Sebuah deret bilangan $$U_1+U_2+U_3+....+U_n=\frac{1}{3}n^2-2n$$ Untuk membuktikan kebenaran tersebut dengan asumsi untuk setiap $$n=k$$ benar, rumus deret hingga suku ke $$n=k+1$$ adalah .....

Accepted Answer

$$\frac{1}{3}\left(k^2-4k-5\right)$$

Answer

$$\frac{1}{3}\left(k^2+4k-5\right)$$

Answer

$$\frac{1}{3}\left(k^2+4k+3\right)$$

Answer

$$\frac{1}{3}\left(k^2-4k-3\right)$$

Answer

$$\frac{1}{3}\left(k^2-4k+5\right)$$

Question 16

Rumus $$P\left(n\right)$$ di bawah ini yang habis dibagi 5 untuk setiap n bilangan asli adalah ....

Accepted Answer

$$6^n+4$$

Answer

$$2^n+3$$

Answer

$$3^n+2$$

Answer

$$4^n+1$$

Answer

$$5^n+3$$

Question 17

Ketidaksamaan $$4n<2^n$$ diasumsikan benar untuk $$n=k$$ sehingga $$4k<2^k$$ . Pembuktian untuk $$n=k+1$$ akan bernilai benar untuk nilai $$n$$ paling kecil adalah .....

Accepted Answer

5

Answer

2

Answer

3

Answer

4

Answer

6

Question 18

Diketahui untuk setiap bilangan asli n berlaku $$n^2+5n+6$$ adalah bilangan genap. jika diasumsikan untuk n=k bernilai benar (P(k) benar), pembuktian untuk n=k+1 juga benar adalah ....

Accepted Answer

$$P\left(k\right)+2\left(k+3\right)\ $$ merupakan bil.genap

Answer

$$P\left(k\right)+4\left(k+1\right)$$ merupakan bil.genap

Answer

$$P\left(k\right)+4\left(k+3\right)$$ merupakan bil.genap

Answer

$$P\left(k\right)+2\left(k+1\right)\ $$ merupakan bil.genap

Answer

$$P\left(k\right)+2\left(k-3\right)\ $$ merupakan bil.genap

Question 19

$$\sum_{i=1}^7\left(2i+3\right)+\sum_{i=8}^{15}\left(2i+3\right)$$ =......

Accepted Answer

$$\sum_{i=1}^{15}\left(2i+3\right)$$

Answer

$$\sum_{i=8}^7\left(2i+3\right)$$

Answer

$$\sum_{i=7}^{15}\left(2i+3\right)$$

Answer

$$\sum_{i=1}^8\left(2i+3\right)$$

Answer

$$\sum_{i=15}^1\left(2i+3\right)$$

Question 20

Ubahlah notasi sigma berikut menjadi notasi sigma dengan batas atas 12. $$\sum_{k=1}^3\left(5-2k\right)$$

Accepted Answer

$$\sum_{k=10}^{12}\left(23-2k\right)$$

Answer

$$\sum_{k=10}^{12}\left(-13-2k\right)$$

Answer

$$\sum_{k=10}^{12}\left(23+2k\right)$$

Answer

$$\sum_{k=10}^{12}\left(13+2k\right)$$

Answer

$$\sum_{k=10}^{12}\left(-23+2k\right)$$

NOTASI SIGMA

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics