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

Percentage, how do you you find 40% if you 35 out of 40

how do you you find 40% if you 35 out of 40

Strategy for series - sequences and series, Strategy for Series Now t...

Strategy for Series Now that we have got all of our tests out of the way it's time to think regarding to the organizing all of them into a general set of strategy to help us

Gauss-siedel or newton-rapson method, A one-line diagram of a simple three-...

A one-line diagram of a simple three-bus power system is shown in Figure 1 with generation at bus 1. The magnitude of voltage at bus 1 is adjusted to 1.05 per unit. The scheduled l

The shortest distance between the line y-x=1 and curve x=y^2, Any point on ...

Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2

Net Present Value, A business has the opportunity to expand by purchasing ...

A business has the opportunity to expand by purchasing a machine at a cost of £80,000. The machine has an estimated life of 5 years and is projected to generate a cashflow of £20,0

What is transitive relations:, R is called as a transitive relation if (a, ...

R is called as a transitive relation if (a, b) € R, (b, c) € R → (a, c) € R In other terms if a belongs to b, b belongs to c, then a belongs to c.         Transitivity be uns

Two consecutive integers is 15 find out the larger integer, If the differen...

If the difference among the squares of two consecutive integers is 15 find out the larger integer. Let x = the lesser integer and let x + 1 = the greater integer. The sentence,

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