Question

Помогите найти закономерность, а то я ещё весь день просижу!!!!!!!:::::1)2,5,4,7,8,9__,__,32.2)3,8,15,24,__,48,__,63. заранее спасибо :-)

Answer 1

1. Здесь четные числа удваиваются с каждым шагом, а чередующиеся с ними нечетные числа каждый раз увеличиваются на 2. Пропущенные числа : 16 и 11. 2. Здесь разность двух соседних чисел с каждым шагом увеличивается на 2 (8 - 3 = 5, 15 - 8 = 7, 24 - 15 = 9 и т.д.). Пропущенное число : 35.

Answer 2

Finding the Pattern in the Sequence

Let's analyze the given sequences to find the pattern and complete the missing numbers.

1) 2, 5, 4, 7, 8, 9, __, __, 32

2) 3, 8, 15, 24, __, 48, __, 63

Analyzing the First Sequence

Looking at the first sequence, we can observe the following pattern:

- The sequence starts with 2. - The next number is obtained by adding 3 to the previous number (2 + 3 = 5). - The next number is obtained by subtracting 1 from the previous number (5 - 1 = 4). - The next number is obtained by adding 3 to the previous number (4 + 3 = 7). - The next number is obtained by adding 1 to the previous number (7 + 1 = 8). - The next number is obtained by adding 1 to the previous number (8 + 1 = 9).

Based on this pattern, we can continue the sequence as follows:

- The next number is obtained by adding 1 to the previous number (9 + 1 = 10). - The next number is obtained by adding 1 to the previous number (10 + 1 = 11). - The next number is obtained by adding 21 to the previous number (11 + 21 = 32).

Therefore, the completed sequence is: 2, 5, 4, 7, 8, 9, 10, 11, 32.

Analyzing the Second Sequence

Looking at the second sequence, we can observe the following pattern:

- The sequence starts with 3. - The next number is obtained by adding 5 to the previous number (3 + 5 = 8). - The next number is obtained by adding 7 to the previous number (8 + 7 = 15). - The next number is obtained by adding 9 to the previous number (15 + 9 = 24).

Based on this pattern, we can continue the sequence as follows:

- The next number is obtained by adding 11 to the previous number (24 + 11 = 35). - The next number is obtained by adding 13 to the previous number (35 + 13 = 48). - The next number is obtained by adding 15 to the previous number (48 + 15 = 63).

Therefore, the completed sequence is: 3, 8, 15, 24, 35, 48, 63.

Conclusion

The completed sequences are:

1) 2, 5, 4, 7, 8, 9, 10, 11, 32

2) 3, 8, 15, 24, 35, 48, 63

I hope this helps! Let me know if you have any further questions.