Question

Найдите закономерность и укажите восьмой член последовательности 2; 3; 5; 8; 13; ...​

Answer 1

Ответ:

21

Пошаговое объяснение:

2+3=5

3+5=8

5+8=13

8+13=21

Answer 2

Finding the Pattern and the Eighth Term of the Sequence

To find the pattern and the eighth term of the sequence 2, 3, 5, 8, 13, ..., we can examine the differences between consecutive terms.

The difference between the second and first terms is 3 - 2 = 1. The difference between the third and second terms is 5 - 3 = 2. The difference between the fourth and third terms is 8 - 5 = 3. The difference between the fifth and fourth terms is 13 - 8 = 5.

We can observe that the differences between consecutive terms are increasing by 1 each time. This suggests that the sequence is formed by adding the natural numbers in order.

To verify this pattern, we can calculate the differences between the sixth and fifth terms: The difference between the sixth and fifth terms is 21 - 13 = 8.

Therefore, the eighth term of the sequence can be found by adding 8 to the sixth term: The eighth term = 21 + 8 = 29.

Hence, the eighth term of the sequence 2, 3, 5, 8, 13, ... is 29.