Question

Продолжите ряд числе 1,2,4,7,11,16,22,29,...

Answer 1

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ну вот смотри я так поняла в каждое число доб. один например 1+1=2
2+2=4
4+3=7
7+4=11
11+5=16
16+7=22
22+8=29
29+9=38
38+10=48
48+11=59
и так далее

Answer 2

Pattern in the Given Series

The given series is: 1, 2, 4, 7, 11, 16, 22, 29,...

To identify the pattern in this series, let's calculate the differences between consecutive terms:

- The difference between the 2nd and 1st terms is 2 - 1 = 1. - The difference between the 3rd and 2nd terms is 4 - 2 = 2. - The difference between the 4th and 3rd terms is 7 - 4 = 3. - The difference between the 5th and 4th terms is 11 - 7 = 4. - The difference between the 6th and 5th terms is 16 - 11 = 5. - The difference between the 7th and 6th terms is 22 - 16 = 6. - The difference between the 8th and 7th terms is 29 - 22 = 7.

From these calculations, we can observe that the differences between consecutive terms are increasing by 1 each time. This suggests that the pattern in the series is an arithmetic progression with a common difference of 1.

Finding the Next Term

To find the next term in the series, we need to add the common difference of 1 to the last term.

The last term in the series is 29, so the next term can be found by adding 1 to 29:

29 + 1 = 30.

Therefore, the next term in the series is 30.

Conclusion

The given series follows an arithmetic progression with a common difference of 1. The next term in the series is 30.

Please let me know if there's anything else I can help you with!