...л/.г- + л/у = ± 8 (3) From (2) and (3), 2 л/а; = 14, 2л/^ = 2. .-.г = 49, and у = 1. 20. There are four numbers in geometrical progression,...the sum of the means as 7 to 3. Find the numbers. Let x = first number, and. у = ratio. Then x, xy, œy", xy3 = numbers. жу>-а!у = 24 (1) xy')t...

...second by 21. What are the numbers ? 23. Find two numbers whose sum is 3J and geometrical mean 1^. 24. The sum of the squares of two numbers exceeds...smaller; by taking n large enough we can make the nth term, ar"~1, as small as we please, although we cannot make it absolutely zero. The sum of n terms,...

...second by 21. -What are the numbers ? 23. Find two numbers whose sum is 3^ and geometrical mean 1J. 24. The sum of the squares of two numbers exceeds...3. Find the numbers. Infinite Geometrical Series. 870. When r is less than 1, the successive terms of a geometrical series become numerically smaller...

...numbers is 48, and the arithmetical mean exceeds the geometrical mean by 18. Find the numbers. 20. There are four numbers in geometrical progression, the second of which is less thart the fourth by 24, and the sum of the extremes is to the sum of the means as 7 to 3. Find the...

...the squares of all the three numbers, as 5 to 7. What are the numbers ? Ans., 5, 10, and 20. (72.) There are four numbers in geometrical progression,...the extremes is to the sum of the means, as 7 to 3. What are the num bers?Ans., 1, 3, 9, 27. THE END OLNEY'S HIGHER MATHEMATICS, Therels０ne ね at 几...