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k0tesss
k0tesss
16.01.2020 07:42 •  Алгебра

решить задачу.
Знайдіть суму перших п’яти членів геометричної прогресії (сn), якщо : с1=12 , q=4.

Показать ответ
Ответ:
vnigmatullina
vnigmatullina
09.02.2023 13:06

2.17. из трехзначных а 5 делятся  100, 105,110; 115..,995

Пусть всего n чисел делится на 5, тогда увидев, что их можно посчитать с формулы n- го члена арифметической прогрессии, получим aₙ=a₁+d*(n-1), где  а₁=100; aₙ=995, d=5,  найдем n. подставим данные в формулу. получим

995=100+5*(n-1); 199=20=n-1⇒n=199+1-20=180

значит, трёхзначных чисел, делящихся на 5, 180.

Аналогично найдем количество трёхзначных чисел, делящихся на 7.

105, 112, 119...,994; а₁=105; aₙ=994, d=7.

994=105+7*(n-1); n-1=142-15; n=128

значит,  трёхзначных чисел, делящихся на 7, 128.

на два делятся четные. Всего 999-99=900 трехзначных, половина из них четные. т.е. четных 450

Тогда общее количество искомых чисел, 450+180+128=758

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Ответ:
AnnaIzotova53
AnnaIzotova53
26.03.2020 21:08

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0,0(0 оценок)
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