b1 = 512; bn = 1; Sn = 1023;
Sn = (bn · q - b1)/(q - 1)
1023 = (q - 512)/(q - 1)
1023q - 1023 = q - 512
1022q = 511
q = 1/2
bn = b1 · q^(n - 1) 1 = 512 · (1/2)^(n -1) 1/512 = 1/2^(n - 1)
1/2^9 = 1/2^(n - 1)
9 = n - 1
n = 10
Ответ: n = 10; q = 1/2
1) = 2,4х-8,4-2х+0,4=0,4х-8; при х= 4 1/6
4/10 * 25/6 = 100/60=10/6=5/3=1 2/3
2) = -3х+9-6х-8=-9х+1; при х=-2/3
-9 * (-2/3) +1= 6+1=7
3) = 2а-24-14а+21=-12а-3; при а=1/3
-12 * 1/3 -3=-4-3=-7