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To prove a formula by principle of mathematical induction, we verify the statement
  • a)
    For as many positive integral values of n as we like
  • b)
    only for n = k, where k is any positive integer.
  • c)
    Once the formula is proved for a particular positive integer the formula will automatically follow for the next positive integer and the next indefinitely.
  • d)
    only for n = 1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
To prove a formula by principle of mathematical induction, we verify t...
In proof by mathematical induction, if P(k) is true then P(k+1) is also true.
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To prove a formula by principle of mathematical induction, we verify the statementa)For as many positive integral values of n as we likeb)only for n = k, where k is any positive integer.c)Once the formula is proved for a particular positive integer the formula will automatically follow for the next positive integer and the next indefinitely.d)only for n = 1Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about To prove a formula by principle of mathematical induction, we verify the statementa)For as many positive integral values of n as we likeb)only for n = k, where k is any positive integer.c)Once the formula is proved for a particular positive integer the formula will automatically follow for the next positive integer and the next indefinitely.d)only for n = 1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To prove a formula by principle of mathematical induction, we verify the statementa)For as many positive integral values of n as we likeb)only for n = k, where k is any positive integer.c)Once the formula is proved for a particular positive integer the formula will automatically follow for the next positive integer and the next indefinitely.d)only for n = 1Correct answer is option 'B'. Can you explain this answer?.
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