Предмет: Алгебра, автор: АлинаМиронова

ПОМОГИТЕ ПОЖАЛУЙСТА!
Число 162 является членом геометрической прогрессии. Найдите его номер, если
прогрессия задана формулой bn=2/3 * 3^ 2n-3

Ответы

Автор ответа: Аноним

5

Дана геометрическая прогрессия bn=2/3 * 3^ 2n-3. Найти какому n принадлежит число 162. Решение: 2/3*3^ 2n-3=162; 3^ 2n-3=162:2/3; 3^ 2n-3=243; 3^ 2n-3=3^5; 2n-3=5; 2n=8; n=4. Проверка: b4=2/3*3^2*4-3=2/3*3^5=2/3*243=162. Ответ: 4.

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