Дают 85 баллов. Найдите шестой и n-ый член геометрической прогрессии:
а)48; 12; ...
б) дробь 64 деленнач на 9; дробь -32 деленное на 3;...
в) -0.001; -0.01; ...
г) -100; 10; ...
а)48; 12; ...
б) дробь 64 деленнач на 9; дробь -32 деленное на 3;...
в) -0.001; -0.01; ...
г) -100; 10; ...
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d = 12 / 48 = 1/4
b6 = b1 * d^5 = 48 * (1/4)^5 = 48/1024 = 6/128=3/64
bn = b1 * (1/4)^(n-1)
б)
в)
г)
Verified answer
А) 48, 12,...b1 = 48, q = 1/4
b6 = b1*q^5 = 48/4^5 = 3/64
bn = b1*q^(n-1) = 48/4^(n-1) = 3*(4^(3-n))
б) 64/9, -32/3...
b1 = 64/9, q = - 3/2
b6 = b1*q^5 = - 64*243/(9*32) = -54
bn = b1*q^(n-1) = (64/9)*(-3/2)^(n-1)
в) -0,001; -0,01...
b1 = -0,001; q = 10
b6 = b1*q^5 = -0,001*10^5 = -100
bn = b1*q^(n-1)= -0,001* 10^(n-1) = -10^(n-4)
г) -100, 10....
b1= -100; q = -0,1
b6 = b1*q^5 = 100 *(-10)^(-5) = -0,001
bn = b1*q^(n-1) = 100*(-0,1)^(n-1)