Question

Кассир кинотеатра записал количество проданных билетов на один и тот же фильм за четыре дня подряд, и заметил, что число проданных билетов образует закономерную последовательность: 148; 146; 142; 136; … Сколько билетов будет продано в пятый день, если Закономерность не измениться ​

Answer 1

Ответ:

128

Пошаговое объяснение:

148-2=146-4=142-6=136-8=128

Answer 2

128

Пошаговое объяснение:

1)148-2=146

2)146-4=142

3)142-6=136

4)136-8=128

Answer 3

Problem Analysis

The 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: 148, 146, 142, 136. The task is to determine how many tickets will be sold on the fifth day if the pattern continues.

Solution

To find the pattern in the sequence, we can observe the differences between consecutive terms. Let's calculate the differences between each pair of consecutive terms:

- Difference between the first and second terms: 148 - 146 = 2 - Difference between the second and third terms: 146 - 142 = 4 - Difference between the third and fourth terms: 142 - 136 = 6

We can see that the differences form an arithmetic sequence with a common difference of 2. This means that each subsequent term in the sequence is obtained by subtracting 2 from the previous term.

To find the fifth term, we can subtract 2 from the fourth term:

136 - 2 = 134

Therefore, if the pattern continues, 134 tickets will be sold on the fifth day.

Conclusion

If the pattern of the regular sequence continues, the cashier will sell 134 tickets on the fifth day.