Предмет: Алгебра, автор: MMMD05

докажите что при любом натуральном n значение выражения:a)11^n+4-11^n делится на 61;

Ответы

Автор ответа: Аноним

28

$\tt 11^{n+4}-11^n=11^n\cdot(11^4-1)=14640\cdot 11^n$

Первый множитель 14640 делится на 61, следовательно $\tt (11^{n+4}-11^n)$ делится на 61

Предыдущий вопрос

Следующий вопрос

Похожие вопросы

Предмет: Английский язык, автор: akhunova0648

Test. PAST TENSES.
Use Past Simple, Past Continuous or Past Perfect.

1. While I ＿ (do) my homework, my parents＿ (work) in the garden.

2. On Monday we ＿ (have) five lessons,

3. I (finish) my project by 10 p.m yesterday.

4. My sister ＿(do) homework the whole evening yesterday.

5. The cat ＿(take) a piece of fish and ＿ (run) away.

6. At this time yesterday ＿(listen) to music.

7. We ＿ (walk) down the street when we ＿(see) a our friend in the window of the bus.

8. She ＿(say) that she ＿ (give ) me the wrong address.

9. He ＿(want) to visit a place where he ＿(live) in the childhood.

10. I ＿(stand) by the window when I ＿(hear) the front door open.

11. I＿ (think) it was my mum but soon I ＿(realize) I was wrong.

12. When I ＿ (turn) around, I ＿(see) a strange man looking at me.

13. The rescue team ＿ (find) two survivors under the rubble before the day ＿(be) over.

14. By the time her parents ＿(retun) home, Tracey ＿(take) the dog for a walk.

15. Last night James ＿ (sit) in the living room watching TV while his parents＿ (get) ready to go to the theater.

16. By the time the rescue team＿(come), the building ＿(collapse).

17.I (close) my eyes and when (open) them again there were two creatures in front of my car and they＿(come) slowly towards me.

18. After my dad ＿ (eat) dinner, he ＿(fall) asleep on the sofa.

19. When I ＿ (wake) up this morning, the sun ＿(shine).

20. As I＿(have) breakfast, my friend Julie ＿(phone) me and we ＿(decide) to go for a picnic in the park.

21. Randy＿ (drive) his new Porsche to visit his parents.

22. He (buy) the car only two days earlier.

23. It (be) late it night and it (rain) earlier so the road (be) slippery.

24. Suddenly, when he (go) through a forest, something (jump) on the road.

25. In order not to hit it, Randy (step) on the breaks. He (lose) control of the car and (hit) a tree.

5 лет назад

Предмет: Химия, автор: oooooooooosan72

В каком ряду химические элементы расположены в порядке уменьшения их электроотрицательности?

5 лет назад

Предмет: Математика, автор: hudakovmihail13

Пж нужно побыстрее пж

5 лет назад

Предмет: Математика, автор: юля7772

сочетательное свойство к примеру (38×2)×5

8 лет назад

Предмет: Математика, автор: егор6789

Решите уравнение 38-3(x+2)=X

8 лет назад