There are four numbers. The first three numbers form an equal ratio sequence, and the last three numbers form an equal difference sequence. The sum of the first and last two numbers is 21, and the sum of the middle two numbers is 18 ..

There are four numbers. The first three numbers form an equal ratio sequence, and the last three numbers form an equal difference sequence. The sum of the first and last two numbers is 21, and the sum of the middle two numbers is 18 ..

Let the first number be a and the equal ratio be Q
a,aq,aq^2,2aq^2-aq
(1-q+2q^2)/(q+q^2)=21/18
Q = 2, or q = 3 / 5
So 3, 6, 12, 18
Or 75 / 4, 45 / 4, 27 / 4, 9 / 4