Question

Найти правило по которому составлен ряд чисел 1-й 3,8,15, , ,48, ,80 2-й 2,5,4,7,8,9, , ,32

Answer 1

1) Если коротко сказать, первый ряд образован так:

+5, +7, + 9, + 11, +13, +15, +17.

Числа в ряду будут такие: 3, 8, 15, 24, 35, 48, 63, 80.

2) Во втором ряду числа будут такие:

2, 5, 4, 7, 8, 9, 16, 18, 32.

Тоесть происходит чередование: предыдущее число умножают на 2, записывают полученное число и опять предыдущее его число умножают на два.

 

Answer 2

Rule for the Given Number Series

For the first number series: 3, 8, 15, 48, 80

The rule for this series is that each number is obtained by multiplying the previous number by 2, then adding 1, and then multiplying by 2 again. This can be expressed as follows:

1st number: 3 2nd number: (3 * 2) + 1 = 7 3rd number: (7 * 2) + 1 = 15 4th number: (15 * 2) + 1 = 31 5th number: (31 * 2) + 1 = 63 6th number: (63 * 2) + 1 = 127 7th number: (127 * 2) + 1 = 255 8th number: (255 * 2) + 1 = 511 9th number: (511 * 2) + 1 = 1023 10th number: (1023 * 2) + 1 = 2047

For the second number series: 2, 5, 4, 7, 8, 9, 32

The rule for this series is that each number alternates between adding 3 and subtracting 1. This can be expressed as follows:

1st number: 2 2nd number: 2 + 3 = 5 3rd number: 5 - 1 = 4 4th number: 4 + 3 = 7 5th number: 7 + 1 = 8 6th number: 8 + 3 = 11 7th number: 11 - 1 = 10 8th number: 10 + 3 = 13 9th number: 13 - 1 = 12 10th number: 12 + 3 = 15

These rules are based on the patterns observed in the given number series.