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GIKI - Practice Test - Maths - Mathematical Induction - Quiz 3

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 3 of the series.

21. The principle of mathematical induction is equivalent to the:



22. If P(n) is a statement about natural numbers, and we prove P(1) and P(n) ⇒ P(n+1), the conclusion is:



23. Strong induction differs from ordinary induction because:



24. The sum 1 + 2 + 2² + ... + 2^n equals:



25. For the sequence a_n = n², the difference a_{n+1} - a_n is:



26. In induction, the variable n is assumed to be a:



27. If P(k) is true and P(k) ⇒ P(k+1) is true, then by induction we can conclude that:



28. The formula for the sum of first n terms of an arithmetic progression is derived using:



29. The product 1·2·3·...·n is called:



30. If n! is divisible by 2^n for n ≥ 0?



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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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