Question

В пакете у Алёнки 91 конфета . в первый день она съела 1 конфету и ела на 1 конфету больше каждый следущий день. сколько дней она ела конфеты?​

Answer 1

Ответ:

за 13 дней

1+2+3+4..+12+13=91

Answer 2

Alenka's Candy Consumption

To determine how many days Alenka ate candies, we need to analyze the given information.

According to the information provided, Alenka had a package of 91 candies. On the first day, she ate 1 candy, and each subsequent day she ate 1 more candy than the previous day.

To find out how many days she ate candies, we can set up an equation. Let's assume that Alenka ate candies for "x" days.

On the first day, she ate 1 candy. On the second day, she ate 1 more candy than the previous day, which is 1 + 1 = 2 candies. On the third day, she ate 1 more candy than the previous day, which is 2 + 1 = 3 candies. This pattern continues until the "x"th day.

So, the equation can be written as:

1 + 2 + 3 + ... + (x-1) + x = 91

To solve this equation, we can use the formula for the sum of an arithmetic series:

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

In this case, the first term is 1, the last term is x, and the sum is 91. Plugging these values into the formula, we get:

91 = (x/2)(1 + x)

Now, let's solve this equation to find the value of "x".