Предмет: Алгебра, автор: alenaans

Благодарю за решение:) Может ли сумма 100 последовательных
нечетных чисел быть девятой степенью

натурального числа?

Ответы

Автор ответа: 000даяна000123

0

Если а – число чётное, то есть а = 2к, то = 4 – делится на 4.
Если а – число нечётное, то есть а = 2к + 1, то = ( = 4 + 4к + 1 = 4к (к+1) + 1 – при делении на 8 даёт остаток 1

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