Предмет: Математика, автор: varvar042006

Помогите пожалуйста нужно срочно : Найдите последнюю цифру суммы 5+10+15+20+25+…+210905+10+15+20+25+…+21090.


Ответы

Автор ответа: Аноним
1

Ответ:

0

Пошаговое объяснение:

(5+210905)*210905/5=8896394710

Автор ответа: axatar
1

Ответ:

5

Пошаговое объяснение:

Число 5+10+15+20+25+…+210905+10+15+20+25+…+21090 оканчивается на цифру 0 или 5. На ответ задачи не влияют числа оканчивающийся на цифру 0, поэтому достаточно подсчитать числа которые оканчиваются на цифру 5. Количество таких чисел:

((210905-5):10+1)+((21085-15):10+1)=21091+2108=23199

Значит, количество чисел которые оканчиваются на цифру 5 нечетное, откуда следует что последняя цифра суммы 5.

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