Question

Установите закономерность в последовательности: 5;6;13;29;?;?;

Answer 1

Finding the Pattern in the Sequence

To find the pattern in the given sequence: 5, 6, 13, 29, ?, ?, we can analyze the differences between consecutive terms.

The difference between the second and first terms is 6 - 5 = 1. The difference between the third and second terms is 13 - 6 = 7. The difference between the fourth and third terms is 29 - 13 = 16.

Looking at these differences, we can observe that they are increasing by a factor of 2 each time: 1, 7, 16.

To find the next differences, we can continue this pattern: The difference between the fifth and fourth terms should be 29 + 16 = 45. The difference between the sixth and fifth terms should be 45 + 32 = 77.

Now, let's find the next terms in the sequence by adding these differences to the previous terms: The fifth term should be 29 + 45 = 74. The sixth term should be 74 + 77 = 151.

Therefore, the missing terms in the sequence are 74 and 151.

Answer: 74, 151.