Answer:

Step-by-step explanation:
When the first draw is done there are 9 red balls in a sample size of 21. So there probability of drawing a red ball will be 
When the second draw is done, there will be 12 yellow balls in a sample size of 20 since the first ball will not have been replaced into the bag. So the chance of someone drawing the second ball in the second draw is 
The probability of them happening in this order is the product of both probabilities:

The answer is 4. you distribute the negative to make a positive sign and then add
Since the sequence is geometric, there is some constant

such that the sequence is recursively given by

By this definition, you can recursively substitute into the right hand side the definition for

to find an explicit formula for the

th term.

You know the second term, which means you can find

:

So, the 7th term of the sequence is
The answer would be 10 11/20 or 10.55 in decimal form