Question

кассир кинотеатра записал количество проданных билетов на один и тот же фильм за 4 дня подряд и заметил что число проданных билетов образует закономерную последовательность 122 126 138 174 Сколько билетов будет продана в пятый день если закономерность не изменится ​

Answer 1

Ответ:

282 .....................

Answer 2

Problem Analysis

A cashier at a movie theater has recorded the number of tickets sold for the same movie over four consecutive days and noticed that the number of tickets sold forms a regular sequence: 122, 126, 138, 174. The question is how many tickets will be sold on the fifth day if the pattern continues.

Solution

To find the pattern and determine the number of tickets sold on the fifth day, we need to analyze the given sequence of numbers.

Let's examine the differences between consecutive numbers in the sequence:

- The difference between the second and first numbers is 126 - 122 = 4. - The difference between the third and second numbers is 138 - 126 = 12. - The difference between the fourth and third numbers is 174 - 138 = 36.

From these differences, we can observe that the differences themselves form a regular sequence: 4, 12, 36.

To find the difference for the fifth day, we can continue this pattern. The difference between the fifth and fourth numbers would be the same as the difference between the fourth and third numbers, which is 36.

To find the number of tickets sold on the fifth day, we add this difference to the last number in the sequence:

174 + 36 = 210.

Therefore, if the pattern continues, 210 tickets will be sold on the fifth day.

Conclusion

If the pattern of ticket sales continues, the cashier will sell 210 tickets on the fifth day.

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