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GIKI - Practice Test - Maths - Mathematical Induction - Quiz 1

Practice 10 high yield MCQs on Maths from Chapter Mathematical Induction for Practice Test. After submission, get instant results with correct answers and detailed explanations. This is Quiz 1 of the series.

1. The first step in mathematical induction is:



2. In mathematical induction, the inductive hypothesis assumes the statement is true for:



3. What is the sum of first n natural numbers?



4. The sum of the first n odd numbers is:



5. The sum of squares of first n natural numbers is:



6. In the inductive step, we prove that if the statement is true for n = k, then it is true for:



7. The statement 1 + 2 + 3 + ... + n = n(n+1)/2 is proven by induction. The base case is n = 1. LHS = 1, RHS = 1(2)/2 = 1. What is the inductive hypothesis?



8. For the sum of first n natural numbers, the inductive step requires proving: 1 + 2 + ... + k + (k+1) = (k+1)(k+2)/2, using the assumption:



9. What is 1 + 2 + 3 + ... + 10?



10. The sum of first n even numbers is:



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Instructions: Select one answer per question. After submitting, you will see your score, correct answers, and explanations.

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