Відповіді §.19 - §.20 » §.20 (5)

Виконайте завдання. 1. 0,(15) = 15/99 = 5/33 2. 1,2(3) = 1,2 + 3/90 = 11/5 + 1/30 = 16/30 + 1/30 = 17/30 = 37/30 3. 17/27 : 1,(8) = 17/27 : 18/9 = (4 •9)/(7 •17) = 2/3 n = 3. m = 2. m • n = 6. 4. (2,1(6)+ 2,8(3))/13 • 1, (18) = (2,1+ 6/90+ 2,8+ 3/90)/13 • 118/99 = (4,9+ 9/90)/13 • 16/33 = = (4,9+ 1/10)/13 • 12/11 = (4,9+ 9/90)/13 • 16/33 = (4,9+ 1/10)/13 • 12/11 = (5 •13)/(13 •11) = 5/11 11% від 5/11 – ? 11/100 • 5/11 = 5/100 = 0,05. 6) q3 – ?. S = 5S3 b_1/(1-q) = 5 • (b_1 (q^3- 1))/(q-1) –1 = 5(q3 – 1). q3 – 1 = –1/5 q3 = 4/5.