Question
If , prove that
Found 7 tutors discussing this question
Discuss this question LIVE
10 mins ago
Text solutionVerified
It is given that
To show:
We shall prove that the result by using the principle of mathematical induction .
For , we have:
Therefore, the result is true for .
Let the result be true for .
That
is
Now, we prove that the result is true for .
Now,
Therefore, the result is true for .
Thus by the principle of mathematical induction , we have:
To show:
We shall prove that the result by using the principle of mathematical induction .
For , we have:
Therefore, the result is true for .
Let the result be true for .
That
is
Now, we prove that the result is true for .
Now,
Therefore, the result is true for .
Thus by the principle of mathematical induction , we have:
Was this solution helpful?
150
Share
Report
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Practice questions from similar books
Stuck on the question or explanation?
Connect with our math tutors online and get step by step solution of this question.
231 students are taking LIVE classes
Question Text | If , prove that |
Answer Type | Text solution:1 |
Upvotes | 150 |