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formulas for mathematical induction. Write the statement to be proved as P n where n is the variable in the statement and P is the statement itself. Math Algebra all content Series induction Induction.
Rd Sharma Class 11 Solutions Chapter 12 Mathematical Induction Mathematical Induction Induction Solutions from www.pinterest.com
Summary Principle of Mathematical Induction Formulas. The above is a well explained and solid proof by mathematical induction. 3 k 1 1 3 3 k 1 2 3 k 3 k 1 The first part 2 3 k is certain to be a multiple of 2 and the second part 3 k 1 is also true as our previous assumption.
We know that T k k k12 the assumption above T k1 has an extra row of k 1 dots.
3 k 1 1 3 3 k 1 2 3 k 3 k 1 The first part 2 3 k is certain to be a multiple of 2 and the second part 3 k 1 is also true as our previous assumption. P k P k 1 P k P k 1 If you can do that you have used mathematical induction to prove that the property P P is true for any element and therefore every element in the infinite set. By mathematical induction the statement is true. K 2 3k 2 k 1 k 2 Therefore 2 4 6.
