What is the next three terms in sequence of 8, 20, 50

This sequence is doubling the sequence and adding half. When n is your number, you could find the next number in your sequence by plugging in the number:

2n+0.5n

To find the 4th term, we need to plug in 50.

2*50+0.5*50=125

Now, we need to find the 5th term, so we plug in 125.

2*125+0 ... 5*125=312.5

To find the 6th term, we plug in 312.5.

2*312.5+0.5*312.5=781.25

So, the next 3 terms are 125, 312.5, and 781.25