diff --git a/README.md b/README.md
index c2e235e..f22f497 100644
--- a/README.md
+++ b/README.md
@@ -1,14 +1,14 @@
 # Recursion Problems
 
 ## Definitions
-Define the following: 
+Define the following:
 
-- Recursion
-- Recursive Case
-- Base Case
-- Activation Chain/Stack
-- Activation Record/Call
-- Infinite Recursion/Stack Overflow/Stack too deep
+- Recursion  - Recursion is when a method calls itself (opposite of iterative).
+- Recursive Case - The recursive case is what keeps the method going.
+- Base Case - The base case of a recursive method is the stopping case - if it were not reached, the recursion would go on forever.  There can be more than one base case.
+- Activation Chain/Stack - the process of a recursive method as it is executed.  Can be diagrammed with Crystal's bubble notation.
+- Activation Record/Call - keeps track of values as the recursive method executes.
+- Infinite Recursion/Stack Overflow/Stack too deep - Infinite recursion happens when a method never reaches a base case.  The recrusion keeps going forever and results in error messages like "Stack Overflow" or "Stack too deep".
 - Tail Recursion
 
 ## Tracing through a recursive method
@@ -24,9 +24,9 @@ def mystery1(n)
 end
 ```
 
-- What is mystery1(5)?
-- What is mystery1(10)?
-- What is mystery1(0)?
+- What is mystery1(5)?  15
+- What is mystery1(10)?  55
+- What is mystery1(0)? Infinite recursion/Stack level too deep
 
 ### Trace #2
 ```
@@ -39,9 +39,9 @@ def mystery2(n)
 end
 ```
 
-- What is mystery2(123)?
-- What is mystery2(9005)?
-- What is mystery2(-123)?
+- What is mystery2(123)? 6
+- What is mystery2(9005)? 14
+- What is mystery2(-123)? -123
 - _Added Fun: How could we make `mystery2(-123)` work the way we might expect it to work instead of the way it does?_
 
 ### Trace #3
@@ -60,9 +60,9 @@ def mystery3(n)
 end
 ```
 
-- What is mystery3(1)?
-- What is mystery3(13)?
-- What is mystery3(-6)?
+- What is mystery3(1)? 100
+- What is mystery3(13)? 100
+- What is mystery3(-6)? 200
 
 ### Trace #4
 ```
@@ -75,9 +75,9 @@ def mystery4(b,e)
 end
 ```
 
-- What is mystery4(10,2)?
-- What is mystery4(4,3)?
-- What is mystery4(5,0)?
+- What is mystery4(10,2)? 100
+- What is mystery4(4,3)? 64
+- What is mystery4(5,0)? 1
 
 ### Trace #5
 ```
@@ -90,9 +90,9 @@ def mystery5(s)
 end
 ```
 
-- What is mystery5("hi")?
-- What is mystery5("")?
-- What is mystery5("Hi, there!")?
+- What is mystery5("hi")? "**"
+- What is mystery5("")? ""
+- What is mystery5("Hi, there!")? "**********"
 - _Added Fun: How could we make only alphabetic characters to be changed to stars?_
 
 ### Trace #6
@@ -110,7 +110,7 @@ def mystery6(s)
 end
 ```
 
-- What is mystery6("goodnight moon")?
-- What is mystery6("Ada Developers Academy")?
-- What is mystery6("Hi, there!")?
+- What is mystery6("goodnight moon")? " moon goodnight"
+- What is mystery6("Ada Developers Academy")? " Academy Developers Ada"
+- What is mystery6("Hi, there!")? " there! Hi,"
 - _Added Fun: How could we make the reversal happen by letter, instead of by word (i.e. Make it so that mystery6("goodnight moon") returned "noom thgindoog")?_