Вопрос задан 03.10.2023 в 07:57. Предмет Математика. Спрашивает Терентьев Иван.

2,5,7,10,26,..., 50,65,82,101

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Отвечает Прохоров Илья.

Ответ:

Пошаговое объяснение:

1,10,26,50,82,122,170,226,290

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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

It seems like you have a sequence of numbers, and you're looking for a pattern or rule to determine the missing number in the sequence.

Let's analyze the sequence you provided:

2, 5, 7, 10, 26, ..., 50, 65, 82, 101

To find the pattern or rule, let's look at the differences between consecutive numbers:

5 - 2 = 3 7 - 5 = 2 10 - 7 = 3 26 - 10 = 16

The differences between the first few numbers are 3, 2, and 3, but then there's a significant jump of 16 between 10 and 26.

Let's continue:

50 - 26 = 24 65 - 50 = 15 82 - 65 = 17 101 - 82 = 19

The differences between the remaining numbers are 24, 15, 17, and 19.

Now, let's look at the differences between the differences:

2 - 3 = -1 3 - 2 = 1 16 - 3 = 13 15 - 16 = -1 17 - 15 = 2 19 - 17 = 2

The second set of differences is -1, 1, 13, -1, 2, and 2.

There isn't a clear linear pattern for the second set of differences, and the sequence appears to be somewhat irregular. However, it does seem that the differences between the original numbers are increasing gradually.

Based on this observation, we can make an educated guess for the next number in the sequence:

101 + 19 = 120

So, the missing number in the sequence might be 120. However, please note that this is not a definitive answer as the pattern in this sequence is not entirely clear.

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