8.5
The sequence is 1 -- 1.25 -- 7 -- 7.5 -- 2 -- 2.25 -- 8
The sequence of addition and subtraction is +.25 -- +5.75 -- +.50 -- -5.5 -- +.25 -- +5.75 so the next number must be 8 +.50
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225% = 9/4 or 2 and 1/4
It is: 225/450 = 1/2
With the equation of an ellipse in the form (x/a)² + (y/b)² = 1 the axes of the ellipse lie on the x and y axes and the foci are √(a² - b²) along the x axis. 9x² + 25y² + 100y - 125 = 0 → (3x)² + 25(y² + 4y + 4 - 4) = 125 → (3x)² +25(y + 2)² - 100 = 125 → (3x)² +25(y + 2)² = 225 → (3x)²/225 + (y + 2)²/9 = 1 → (x/5)² + ((y+2)/3)² = 1 Thus the foci are √(5² - 3²) = √16 = 4 either side of the y-axis, but the y axis has been shifted up by 2, thus the two foci are (-4, -2) and (4, -2).
250/2 = 125... So 125 times.
7.5 = 7 1/2 or 15/2 or 750%