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Eugene0B
@Eugene0B
July 2022
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Выписано три последовательных члена возрастающей геометрической прогрессии: 3; b; 48. Найдите член прогрессии, обозначенный через b.
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anmih
Verified answer
3; b; 48
b = 3 * q
48 = b * q
=>
48 = 3*q*q
48 = 3*q²
q² = 16
q(1) = 4 q(2) = -4
Проверка:
b = 3 * 4 = 12
12 * 4 = 48
48 = 48 -верно
=> q = 4; b = 12
b = 3*(-4) = -12
-12 * (-4) = 48
48= 48 - верно
=> q = -4 b = -12
Ответ: b = {-12; 12}
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Answers & Comments
Verified answer
3; b; 48b = 3 * q
48 = b * q
=>
48 = 3*q*q
48 = 3*q²
q² = 16
q(1) = 4 q(2) = -4
Проверка:
b = 3 * 4 = 12
12 * 4 = 48
48 = 48 -верно
=> q = 4; b = 12
b = 3*(-4) = -12
-12 * (-4) = 48
48= 48 - верно
=> q = -4 b = -12
Ответ: b = {-12; 12}