Дано: (bn)-геометрическая прогрессия
b1=0.5
b2=1.5
Найти: b3, b4, S4
----------------------------------------------
Bn=b1*q^n-1
q=b2/b1
q=1.5/0.5
q=3
---------------------------
B3=0.5*3^2
B3=0.5*9
B3=4.5
-----------------------------------
B4=0.5*3^3
B4=0.5*27
B4=13.5
-----------------------------------------------------
Sn=(b1(q^n-1))/(q-1)
S4=(0.5(3^4-1))/2
S4=(0.5*80)/2
S4=40/2
S4=20
Ответ: B3=4.5 B4=13.5 S4=20
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Дано: (bn)-геометрическая прогрессия
b1=0.5
b2=1.5
Найти: b3, b4, S4
----------------------------------------------
Bn=b1*q^n-1
q=b2/b1
q=1.5/0.5
q=3
---------------------------
B3=0.5*3^2
B3=0.5*9
B3=4.5
-----------------------------------
B4=0.5*3^3
B4=0.5*27
B4=13.5
-----------------------------------------------------
Sn=(b1(q^n-1))/(q-1)
S4=(0.5(3^4-1))/2
S4=(0.5*80)/2
S4=40/2
S4=20
Ответ: B3=4.5 B4=13.5 S4=20