Question

Найдите закономерность и продолжите последовательность чисел 0,1,3,6,10,15, ПРОДОЛЖИТЬ

Answer 1

21,28,36,45,55,66,78.

Answer 2

0,1,3,6,10,15,21,28,36,45,55,66

Answer 3

Finding the Pattern and Continuing the Sequence

To find the pattern and continue the sequence 0, 1, 3, 6, 10, 15, we can observe that each number in the sequence is obtained by adding the next natural number to the previous number. Let's break it down:

- The first number is 0. - The second number is obtained by adding 1 to the previous number: 0 + 1 = 1. - The third number is obtained by adding 2 to the previous number: 1 + 2 = 3. - The fourth number is obtained by adding 3 to the previous number: 3 + 3 = 6. - The fifth number is obtained by adding 4 to the previous number: 6 + 4 = 10. - The sixth number is obtained by adding 5 to the previous number: 10 + 5 = 15.

Therefore, the pattern is that each number in the sequence is obtained by adding the next natural number to the previous number.

To continue the sequence, we can apply the same pattern. The seventh number would be obtained by adding 6 to the previous number:

15 + 6 = 21.

So, the next number in the sequence is 21.

Therefore, the extended sequence is: 0, 1, 3, 6, 10, 15, 21.

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