Latihan Soal Pola Bilangan (Online)

1. Dua bilangan selanjutnya untuk pola bilangan 3 , 6 , 9 , 12 , 15 , ... adalah ....

18 , 21

16 , 18

18 , 25

21 , 24

The pattern in the given sequence is that each number is increasing by 3. Starting from 3, the next number is 6, then 9, and so on. Therefore, the next two numbers in the sequence would be 18 and 21, as they follow the pattern of increasing by 3.

Explanation

The pattern in the given sequence is that each number is increasing by 3. Starting from 3, the next number is 6, then 9, and so on. Therefore, the next two numbers in the sequence would be 18 and 21, as they follow the pattern of increasing by 3.

2. Pada pola bilangan persegi, bilangan ke-10 adalah ....

100

81

121

90

In a square number pattern, each number is obtained by multiplying a number by itself. The 10th number in this pattern can be found by multiplying 10 by itself, which equals 100. Therefore, the correct answer is 100.

Explanation

In a square number pattern, each number is obtained by multiplying a number by itself. The 10th number in this pattern can be found by multiplying 10 by itself, which equals 100. Therefore, the correct answer is 100.

3. Dua bilangan berikutnya dari barisan 1 , 3 , 6 , 10 , ... adalah ....

15 dan 21

14 dan 20

15 dan 25

15 dan 26

The given sequence is formed by adding consecutive natural numbers. The first term is 1, and the second term is obtained by adding 1 to the first term (1 + 1 = 2). The third term is obtained by adding 2 to the second term (2 + 2 = 4), and so on. Therefore, the next two terms in the sequence would be obtained by adding 3 to the fourth term (10 + 3 = 13) and adding 4 to the fifth term (13 + 4 = 17). Hence, the correct answer is 15 and 21.

Explanation

The given sequence is formed by adding consecutive natural numbers. The first term is 1, and the second term is obtained by adding 1 to the first term (1 + 1 = 2). The third term is obtained by adding 2 to the second term (2 + 2 = 4), and so on. Therefore, the next two terms in the sequence would be obtained by adding 3 to the fourth term (10 + 3 = 13) and adding 4 to the fifth term (13 + 4 = 17). Hence, the correct answer is 15 and 21.

4. Suku ke-5 dari suatu barisan dengan rumus 3n-5 adalah ....

10

5

20

25

The given question asks for the 5th term of a sequence with the formula 3n-5. To find the 5th term, we substitute n=5 into the formula: 3(5)-5 = 15-5 = 10. Therefore, the 5th term of the sequence is 10.

Explanation

The given question asks for the 5th term of a sequence with the formula 3n-5. To find the 5th term, we substitute n=5 into the formula: 3(5)-5 = 15-5 = 10. Therefore, the 5th term of the sequence is 10.

5. Pola bilangan yang memuat bilangan-bilangan 6 , 10 , 15 , 21 adalah ....

segitiga

persegi

kelipatan 3

persegipanjang

The given numbers 6, 10, 15, 21 form a triangular pattern. Each number is a result of adding the next consecutive odd number to the previous number. For example, 6 + 4 = 10, 10 + 5 = 15, and 15 + 6 = 21. This pattern creates a triangular sequence, hence the correct answer is "segitiga" which means triangle in English.

Explanation

The given numbers 6, 10, 15, 21 form a triangular pattern. Each number is a result of adding the next consecutive odd number to the previous number. For example, 6 + 4 = 10, 10 + 5 = 15, and 15 + 6 = 21. This pattern creates a triangular sequence, hence the correct answer is "segitiga" which means triangle in English.

6. Berikut in yang termasuk polo bilangan persegi panjang adalah ....

2 , 6 , 12 , 20 , 30 , ...

1 , 4 , 9 , 16 , 25 , ....

2 , 4 , 6, , 8 , 10 , ...

1 , 3 , 6 , 10 , 15 , 21 , ...

The given sequence follows the pattern of adding consecutive odd numbers. Starting with 2, the next number is obtained by adding 3 (the next odd number) to the previous number. This pattern continues, resulting in the sequence 2, 6, 12, 20, 30, ...

Explanation

The given sequence follows the pattern of adding consecutive odd numbers. Starting with 2, the next number is obtained by adding 3 (the next odd number) to the previous number. This pattern continues, resulting in the sequence 2, 6, 12, 20, 30, ...

7. Dua bilangan berikutnya dari barisan 1 , 1 , 2 , 3 , 5 , 8 , 13 adalah ....

21 dan 34

18 dan 21

21 dan 35

22 dan 23

The given sequence is formed by adding the previous two numbers. Starting with 1 and 1, we get 1+1=2, 1+2=3, 2+3=5, 3+5=8, and so on. Therefore, the next two numbers in the sequence would be 13+8=21 and 8+21=34.

Explanation

The given sequence is formed by adding the previous two numbers. Starting with 1 and 1, we get 1+1=2, 1+2=3, 2+3=5, 3+5=8, and so on. Therefore, the next two numbers in the sequence would be 13+8=21 and 8+21=34.

8. Rumus suku ke-n dari barisan -3 , 2 , 7 , 12 , .... adalah ....

5n-8

3n-6

2-5n

5-8n

The given sequence is an arithmetic sequence with a common difference of 5. To find the formula for the nth term, we can start with the first term (-3) and add the common difference (5) multiplied by (n-1) since the first term corresponds to n=1. Simplifying this expression gives us 5n-8, which matches the given answer. Therefore, the formula for the nth term of the sequence is 5n-8.

Explanation

The given sequence is an arithmetic sequence with a common difference of 5. To find the formula for the nth term, we can start with the first term (-3) and add the common difference (5) multiplied by (n-1) since the first term corresponds to n=1. Simplifying this expression gives us 5n-8, which matches the given answer. Therefore, the formula for the nth term of the sequence is 5n-8.

9. Pada susunan bilangan-bilangan segitiga pascal, jumlah bilangan yang sederajat pada baris ke-10 adalah ....

512

129

256

1024

The Pascal's triangle is a triangular array of numbers in which each number is the sum of the two numbers directly above it. The number of elements in each row of the triangle is equal to the row number. In this case, we are asked for the sum of the numbers in the 10th row of the Pascal's triangle. To find this, we can use the formula for the sum of the elements in the nth row, which is 2^(n-1). Plugging in n=10, we get 2^(10-1) = 2^9 = 512. Therefore, the correct answer is 512.

Explanation

The Pascal's triangle is a triangular array of numbers in which each number is the sum of the two numbers directly above it. The number of elements in each row of the triangle is equal to the row number. In this case, we are asked for the sum of the numbers in the 10th row of the Pascal's triangle. To find this, we can use the formula for the sum of the elements in the nth row, which is 2^(n-1). Plugging in n=10, we get 2^(10-1) = 2^9 = 512. Therefore, the correct answer is 512.

10. Rumus suku ke-n dari barisan 0 , 3 , 8 , 15 , ...adalah ....

(n + 1)(n - 1)

(n + 1)(n + 1)

n(n + 1)

n (n - 1)

The given sequence follows a pattern where each term is obtained by adding the square of the position number to the previous term. When we expand the expression (n + 1)(n - 1), we get n^2 - 1. This matches the pattern of the sequence, where the nth term is equal to n^2 - 1. Therefore, (n + 1)(n - 1) is the correct formula for the nth term of the sequence.

Explanation

The given sequence follows a pattern where each term is obtained by adding the square of the position number to the previous term. When we expand the expression (n + 1)(n - 1), we get n^2 - 1. This matches the pattern of the sequence, where the nth term is equal to n^2 - 1. Therefore, (n + 1)(n - 1) is the correct formula for the nth term of the sequence.