Mathematical induction involving series (HSC SSCE Mathematics Extension 1): Quizzes
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Practise the questions
10 questions from this quiz
What is the first step in induction?
What is the first step in induction?
Base Case
What does the inductive step assume?
What does the inductive step assume?
n=k
What is the formula for the sum of n terms in an arithmetic series?
What is the formula for the sum of n terms in an arithmetic series?
S_n = n/2(2a + (n-1)d)
What is the base case for the sum of the first n natural numbers?
What is the base case for the sum of the first n natural numbers?
S(1) = 1
What does the conclusion of induction state?
What does the conclusion of induction state?
True for all n
What is the sum of the first n odd numbers?
What is the sum of the first n odd numbers?
n^2
What is a common series proven by induction?
What is a common series proven by induction?
Sum of squares
What is the role of pattern recognition?
What is the role of pattern recognition?
To assist in assumptions
What is the formula for the sum of squares?
What is the formula for the sum of squares?
n(n+1)(2n+1)/6
What is the first value in induction?
What is the first value in induction?
n=1