Question: Is this proof that whenever n is a positive integer, correct? Justify your answer. Basis step: The result is true when n = 1 because

Is this proof that
Is this proof that whenever n is a positive integer, correct?

whenever n is a positive integer, correct? Justify your answer.
Basis step: The result is true when n = 1 because

Is this proof that whenever n is a positive integer, correct?

Inductive step: Assume that the result is true for n. Then

Is this proof that whenever n is a positive integer, correct?

Hence, the result is true for n + 1 if it is true for n. This completes the proof.

1/ 1/(1-1) 2 1-2 2 1 2 n+1

Step by Step Solution

★★★★★

3.39 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The basis step is wrong The statement makes no sense for n 1 sinc... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

923-M-C-M-S (1900).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Let n be a positive integer. Show that 2n +2

Q:

Let P(n) be the statement that 12 + 22 + + n2 = n(n + 1) (2n + 1)/6 for the positive integer n. a) What is the statement P(1)? b) Show that P(1) is true, completing the basis step of the proof. c)...

Q:

If n is not a positive integer or zero, the binomial expansion of (1+y)n yields, for1

Q:

question no3 Exercises 1. There are infinitely many stations on a train route. Sup- pose that the train stops at the first station and suppose f) Explain why these steps show that this formula is...

Q:

Consider the statement that 3 divides /7 + 2n whenever n is a positive Integer. Outline the proof by clicking and dragging to complete each statement. Let P(n) be the proposition that Basis step:...

Q:

Click and drag the steps in the correct order to show that 3 divides m" + 2n whenever n is a positive integer using mathematical induction. BASIS STEP: By the inductive hypothesis, 3 | (4* + 2k) ,...

Q:

Let P (n) be the statement. "21 divides 4^n + 1 + 5^2n - 1 whenever n is a positive integer" What is the statement P (1)? Show that P (1) is true, completing the basis step of the proof. What is the...

Q:

Let P (n) be the statement. "n^2 - 1 divides 8 whenever n is a positive integer" What is the statement P (1)? Show that P (1) is true, completing the basis step of the proof. What is the inductive...

Q:

Use mathematical induction to prove that 1-3 (2n-1)(2n+1) 2n+1 whenever n is a positive integer. (Please be sure to clearly indicate in your proof the basis step, the inductive step, and the...

Q:

5. Prove that 12 + 32 + 52 + ... + (2n + 1)2 = (n+ 1) (2n+ 1)(2n + 3) /3 whenever n is a nonnegative integer. 6. Prove that 1 . 1! + 2 . 2! + ... + n . n! = (n+ 1)! -1 whenever n is a positive...

Q:

Job costing, accounting for manufacturing overhead, budgeted rates. The Fasano Company uses a job-costing system at its Dover, Delaware, plant. The plant has a machining department and a finishing...

Q:

Two machines are used for filling small plastic bottles with a net volume of 16 ml. The fill volume is assumed to be normally distributed for both machines. The quality engi- neering staff believes...

Q:

When you deposit $ 1 0 0 in your account at Second National Bank and a $ 3 0 0 check you have written on this account is cashed at First National Bank, then at the final balance sheet A ) the assets...

Q:

7. An information technology company will assign four electrical engineers to four different JAVA programming projects (one to each project). How many different assignments are there?

Q:

Construct a histogram for the semiconductor speed data in Exercise 6-26. Comment on the shape of the histogram. Does it convey the same information as the stem-and leaf display?

Q:

Construct a histogram for the pinot noir wine rating data in Exercise 6-27. Comment on the shape of the histogram. Does it convey the same information as the stem-and-leaf display?

Q:

The Pareto Chart. An important variation of a histogram for categorical data is the Pareto chart. This chart is widely used in quality improvement efforts, and the categories usually represent...

Q:

Dalton Company manufactures and sells two products. Relevant per-unit data concerning each product follow: Product Basic Deluxe Selling price $43.00 $53.00 Variable costs $19.00 $27.10 Machine hours...

Q:

What is the present value of the below cash flow? Cash flow 100.0 Time to receipt, years 10.0 Discount rate 10.0% Select one: 38.6 90.9 1,000.0 259.4

Q:

Which of the following statements is CORRECT? Group of answer choices The factors that affect a firm's business risk are affected by industry characteristics and economic conditions. Unfortunately,...