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Chapter 12: Q 34. (page 830)

How would you explain the Principle of Mathematical Induction to a friend?

Short Answer

Expert verified

Concept of Principle of Mathematical Induction is a method of solving statements involving natural numbers is true for all natural numbers.

Step by step solution

01

Step 1. Given information

The Principle of Mathematical Induction to a friend is to be explained.

02

Step 2. Explain principle of mathematical induction.

Concept of Principle of Mathematical Induction is a method of solving statements involving natural numbers is true for all natural numbers. This can be done by taking 2 conditions into consideration and prove them to be true. They are:

i. The statement is true for the natural number 1

ii. If the statement is true for some natural number k, it is also true for the next natural number k + 1.

Then the statement is true for all natural numbers.

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Most popular questions from this chapter

In Problems 71-82, find the sum of each sequence.

鈭�k=1060(2k)

In Problems 51鈥�60, write out each sum.

鈭�k=0n-113k+1

In Problems 11鈥�16, evaluate each factorial expression.

12!10!

In Problems 61鈥�70, express each sum using summation notation.

13+23+33+....+83

In Problems 29鈥�36, the given pattern continues. Write down the nth term of a sequence ansuggested by the pattern.

1,-2,3,-4,5,-6,...
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