сколько целых решений имеет неравенство -31<y<149

сколько целых решений имеет неравенство -31<y<149
- Предмет:
  Математика
- Автор:
  dreamerltlk
- 6 лет назад

Ответы 1

Всего целых чисел на отрезке $[-31,149]$ будет $149-(-31)+|\{0\}|=149+31+1=181$ , убираем края $\{-31,149\}$ и получаем: $181-2=179$ Второй вариант: решение с помощью арифметической прогрессии: $a_1=-30 \\ a_n=148 \\ d=1 \\ a_n=a_1+(n-1)d \ \ => \ \ 148=-30+(n-1)\cdot1 \ \ => \ \ n=179$
- Автор:
  allenalvarado
- 6 лет назад
- 0
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сколько целых решений имеет неравенство -31<y<149

Ответы 1

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