Question

Турист двигаясь по пересеченной местности, за первый час пути прошёл 800 м, а за каждый следующий час проходил на 25 м меньше, чем за предыдущий. Какой путь он прошёл за 7 часов? ​

Answer 1

Ответ:

Объяснение:

Это задача на арифметическую прогрессию

a₁=800 d=-25

S₇-?

Sn=(2a₁+d(n-1))n/2

S₇=(2*800-25*6)*7/2=S(1600-150)*7/2=1450*7/2=5075 м

Answer 2

Problem Analysis

The tourist is moving through rough terrain and covers a distance of 800 meters in the first hour. For each subsequent hour, the tourist covers 25 meters less than the previous hour. We need to determine the total distance covered by the tourist in 7 hours.

Solution

To find the total distance covered by the tourist in 7 hours, we can use the formula for the sum of an arithmetic series:

Sum = (n/2) * (2a + (n-1)d)

Where: - n is the number of terms in the series (in this case, the number of hours) - a is the first term in the series (800 meters) - d is the common difference between terms (-25 meters)

Let's calculate the total distance covered by the tourist in 7 hours using this formula.

Calculation

Using the formula for the sum of an arithmetic series, we have:

Sum = (7/2) * (2 * 800 + (7-1) * -25)

Simplifying the equation:

Sum = (7/2) * (1600 - 150)

Sum = (7/2) * 1450

Sum = 5075 meters

Therefore, the tourist covered a total distance of 5075 meters in 7 hours.

Answer

The tourist covered a total distance of 5075 meters in 7 hours.