Question

Which of the following best describes the term induction?

O
A. Writing down the steps to solve a complicated math problem
B. Forming rules based upon observations and experiences
C. Starting with a given set of rules and figuring out what must be
true
O
D. Reducing the solution to a problem in lowest terms

Answer 1

C. Starting with a given set of rules and figuring out what must be true . TRUE

Step by step explanation:

Mathematical Induction

Mathematical Induction is a mathematical technique which we can use to prove any given mathematical statement, result, theorem or corollary with help of induction.

Here, we assume the statement to be true for a smaller natural number (Usually 1) and then prove the statement to be true for ANY ARBITRARY NUMBER say k.

Now, from the given options:

A. Writing down the steps to solve a complicated math problem .

FALSE as the induction method is based on ASSUMPTION and INDUCTION.

B. Forming rules based upon observations and experiences .

FALSE as the induction method is based on ASSUMPTION and INDUCTION. We need to induce the needed statement or Result.

C. Starting with a given set of rules and figuring out what must be true .

TRUE as the induction method is based on ASSUMPTION and INDUCTION.

We try and find out the result with the given existing data.

D. Reducing the solution to a problem in lowest terms.

FALSE as the induction method is based on ASSUMPTION and INDUCTION.