Question

У робота-уборщика произошел сбой. В первый день он разложил консервы на складе по 2 в стопке, на второй день- по 3 в стопке, потом - по 4 в стопке, по 5 в стопке, по 6 в стопке. При попытке разложить их по 7 в стопке робот сломался, так как это сделать было нельзя. Сколько консервов было на складе, если известно, что это число меньше 100?

Answer 1

Ответ:

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Answer 2

Calculation of the Number of Cans on the Warehouse

To determine the number of cans on the warehouse, we need to analyze the pattern of how the robot arranged the cans each day.

On the first day, the robot arranged the cans in stacks of 2. On the second day, the robot arranged the cans in stacks of 3. On the third day, the robot arranged the cans in stacks of 4. On the fourth day, the robot arranged the cans in stacks of 5. On the fifth day, the robot arranged the cans in stacks of 6.

The robot attempted to arrange the cans in stacks of 7 on the sixth day but broke down because it was not possible to do so.

To find the total number of cans, we can sum up the number of cans in each stack for the first five days.

- On the first day, there were 2 cans in each stack. - On the second day, there were 3 cans in each stack. - On the third day, there were 4 cans in each stack. - On the fourth day, there were 5 cans in each stack. - On the fifth day, there were 6 cans in each stack.

To calculate the total number of cans, we can use the formula for the sum of an arithmetic series:

Sum = (n/2) * (first term + last term)

Where: - n is the number of terms in the series (in this case, 5) - first term is the number of cans in the first stack (2) - last term is the number of cans in the last stack (6)

Plugging in the values, we get:

Sum = (5/2) * (2 + 6) = 5 * 4 = 20

Therefore, there were a total of 20 cans on the warehouse.

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