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NUST NET 2026 Practice Test Maths Mathematical Induction Free Quiz 3
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NUST NET 2026 Practice Test Maths Mathematical Induction Free Quiz 3
Practice NUST NET 2026 Practice Test Maths MCQs from Mathematical Induction. Get instant results with Explanation.
Practice Quiz 3 for "Mathematical Induction" (Maths). Total 30 MCQs available, split into 3 quizzes. Challenge yourself with advanced application-based questions. This area is highly tested in NUST NET. Practice these MCQs repeatedly to ensure you don't lose valuable marks on exam day.
General5 MCQs
21. For the inequality 2^n > n for all n ≥ 1, the inductive step shows that 2^(k+1) > k+1 using the assumption 2^k > k. How?
22. The sum 1+2+2²+...+2^n equals:
23. For the sequence a_n = n², the difference a_{n+1} - a_n is:
24. In induction, the variable n is assumed to be a:
25. If P(k) is true and P(k) ⇒ P(k+1) is true, then by induction we can conclude that:
General5 MCQs
26. The formula for the sum of first n terms of an arithmetic progression is derived using:
27. The sum of cubes of first n natural numbers is:
28. Using induction, to prove 1³+2³+...+n³ = [n(n+1)/2]², the inductive step adds:
29. The base case for proving 2^n > n is n = 1. LHS=2, RHS=1. The inductive step uses 2^(k+1) = 2·2^k > 2k ≥ k+1 for k≥1. This proves the inequality for:
30. If the statement P(n) is true for n=1 and P(k) ⇒ P(k+1), then the set of n for which P(n) is true is:

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NUST NET

Conducting Body: NUST
Frequency: Quarterly | Time: 180 Minutes
Negative Marking: No

⚡ Test Pattern (Total: 200 MCQs):

Merit Formula: Typically, the aggregate is calculated as: (NET × 75%) + (FSc Part-I × 15%) + (Matric × 10%). However, NUST may revise its merit calculation formula or admission criteria from time to time. Please confirm the official criteria before applying.

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