DS2
What is a technique in which a loop is used to solve a problem
ANSWER RECURSION
Is a type of induction in which we assume all of the previous values of k.
ANSWER STRONG INDUCTION
The two steps involved in proving mathematical statement are the base step and inductive step. True or False?
ANSWER TRUE
These are simply instructions or sets of rules to be followed to achieve something in the programming field.
Algorithm
1The process of repeatedly executing statements until some specific condition is met
Iteration
Where is Recursive Definitions and Structural Induction concepts commonly used?
Mathematics, Computer Science, And Formal Logic
What is the first step in Mathematical Induction?
P(1)
What is the typical first step in both mathematical induction and strong induction
Proving a base case
It is the repeated application of a recursive procedure or definition.
RECURSION
Which type of function repeatedly continues to produce outputs based on its previous function formula?
Recursively Defined Functions
What is the 11th term of the sequence {2,4,8,16,32, ...}
2048
What is the 9th term of the sequence {5,9,13,17, 21, ...}
37
In how many ways can you arrange the letters in the word "POKEMON"
5040
Find the 6th term in this arithmetic sequence {13,26,39, ...}
78
What is the 20th term of the sequence {5,9,13,17, 21, ...}
81
Which step of a recursive definition provides a rule for finding subsequent values using a previous value/s beginning at those defined in the basis step?
Inductive Step
How many bit string of length eight either start with a 1 bit or end with the two bits 00?
160
How many different bit strings of length seven are there
128
What is the purpose of a base case in mathematical induction
To start the induction process