Use mathematical induction and prove equation, Mathematics

Assignment Help:

1. Use mathematical induction to prove

2093_mathamatical induction.png

whenever n is a positive integer.

2. Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.

INPUT: Integer n

OUTPUT: The sum of 1,...,n

S(n)

1. i ← 0

2. while n>0

3. do i ← i + n

4. n ← n-1

5. return(i)


Related Discussions:- Use mathematical induction and prove equation

What is the smallest possible number 3, What is the smallest possible numbe...

What is the smallest possible number in which can be created along with four decimal places using the numbers 3, 5, 6, and 8? Place the smallest number in the largest place val

Define a cyclic group, Question 1: (a) Show that, for all sets A...

Question 1: (a) Show that, for all sets A, B and C, (i) (A ∩ B) c = A c ∩B c . (ii) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). (iii) A - (B ∪ C) = (A - B) ∩ (A - C).

Measurement of the sampling distribution, Caterer determines that 87% of p...

Caterer determines that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. I

Regression model, Consider the regression model  Y i = a + bX i + u i ,  ...

Consider the regression model  Y i = a + bX i + u i ,  where the  X i   are non-stochastic and the  u i   are independently and identically distributed with  E[u i ] = 0  and  va

Find the distance between these two cities, Memphis, Tennessee, and New Orl...

Memphis, Tennessee, and New Orleans, Louisiana, lie approximately on the same meridian. Memphis has latitude 35°N and New Orleans has latitude 30°N. Find the distance between these

Use the definition of the right- and left-handed limits, Use the definition...

Use the definition of the limit to prove the given limit. Solution Let ε> 0 is any number then we have to find a number δ > 0 so that the following will be true. |

What are factors, What are Factors? When you multiply several numbers t...

What are Factors? When you multiply several numbers together, (4 x 5 x 3), the numbers (4, 5, and 3) being multiplied are called factors. The result of the multiplying th

Find the area enclosed between two concentric circles, Find the area enclos...

Find the area enclosed between two concentric circles of radii 3.5cm, 7cm. A third  concentric circle is drawn outside the 7cm circle so that the area enclosed between it and the 7

Estimate how much should every friend pay, A group of ?ve friends gone out ...

A group of ?ve friends gone out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the similar, so they needed to split the bill evenly. Without consider

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd