Answer: disregard my previous answer, it was incorrect, looking for right one right now
(you can delete this if you want)
Mathematical Induction is used in proving the statement is which holds the element in processing another statement and also proves that it is the key to proceed to another statement. In geometry, it is used to proved that the present geometric pattern hold the element in continuing in predicting the next geometrical pattern and also the next pattern also has this element.
Algebra is math where you find the values of symbols, variables, etc. It is used to find the value of something you don't know.