Question

Продолжите последовательность : 15, 29, 56, 109, 214, ?.

Answer 1

423  ответ таков приглядись первое число умножили на2 и минус 1 потом минус 2 3 4 и 5 и всегда перед вычитанием умножали на 2

Answer 2

15,29,56,109,214,427

Answer 3

Finding the Pattern

To find the pattern in the given sequence, let's examine the numbers provided: 15, 29, 56, 109, 214.

Looking at the sequence, we can see that each number is obtained by adding a specific value to the previous number. Let's calculate the differences between consecutive numbers to identify the pattern:

- The difference between 29 and 15 is 14. - The difference between 56 and 29 is 27. - The difference between 109 and 56 is 53. - The difference between 214 and 109 is 105.

Identifying the Pattern

By examining the differences, we can observe that they are increasing by 13 each time.

- The difference between 29 and 15 is 14. - The difference between 56 and 29 is 27 (14 + 13). - The difference between 109 and 56 is 53 (27 + 26). - The difference between 214 and 109 is 105 (53 + 52).

Applying the Pattern

To find the next number in the sequence, we need to add the next difference of 13 to the last number in the sequence, which is 214.

- The difference between 214 and the next number is 105. - Adding 105 to 214 gives us the next number in the sequence: 319.

Therefore, the next number in the sequence is 319.

Conclusion

The next number in the sequence is 319, obtained by adding the next difference of 13 to the last number in the sequence, which is 214.