Explain that odd positive integer to be a perfect square, Mathematics

Assignment Help:

Show that for odd positive integer to be a perfect square, it should be of the form

8k +1. Let a=2m+1

Ans: Squaring both sides we get a2 = 4m (m +1) + 1

∴ product of two consecutive numbers is always even

m(m+1)=2k

a2=4(2k)+1 a2   = 8 k + 1

Hence proved


Related Discussions:- Explain that odd positive integer to be a perfect square

Scalar multiplication - vector arithmetic, Scalar Multiplication - Vector a...

Scalar Multiplication - Vector arithmetic Another arithmetic operation that we wish to look at is scalar multiplication. Specified the vector a → = (a 1 , a 2 , a 3 ) and any

Additionally functions in substitution rule, Substitution Rule Mostly ...

Substitution Rule Mostly integrals are fairly simple and most of the substitutions are quite simple. The problems arise in correctly getting the integral set up for the substi

What are the characteristics of a queuing system, What are the characterist...

What are the characteristics of a queuing system?  (i) The input pattern  (ii) The queue discipline  (iii) The service mechanism

Triganometry, Ask question #Minimum 100 words what is the hypotunus of a r...

Ask question #Minimum 100 words what is the hypotunus of a right bangled triangle a=5@ b=25 find c accwhepted#

Marketing plan and its parts, can you offer help with an entry level market...

can you offer help with an entry level marketing class and with developing charts and tables for the final marketing plan?

Initial value problems, Write a Matlab function MyIVP that solves an initia...

Write a Matlab function MyIVP that solves an initial-value problem (IVP) for a system of ordinary differential equations (ODEs) of the form x ?(t) = f (t, x(t)), where f : R × Rn ?

Hexagon, how many sides does a regular hexagon have?

how many sides does a regular hexagon have?

Calculate expected average time , A car was machine washes every car in 5 m...

A car was machine washes every car in 5 minutes accurately. It has been calculated that customers will arrive as per to a Poisson distribution at an average of 8 per hour. Calculat

Series, if abebe murepay a $100000interse free loan by making annuallypaym...

if abebe murepay a $100000interse free loan by making annuallypayment of 1st

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