kalah9720 kalah9720

21-10-2019
Mathematics

contestada

Apply the properties of exponents to verify that each statement is an identity
.(3^n+1) − 3^n =( 2 ∙ 3^n) for integer values of n

Respuesta :

aristeus aristeus

23-10-2019

Answer and explanation :

We have given expression [tex]3^{n+1}-3^n=2\times 3^n[/tex] for integer value of n

We have to prove L.H.S = R.H.S

Lets take L.H.S

[tex]3^{n+1}-3^n[/tex]

[tex]3^{n+1}[/tex] can be written as [tex]3^n.3[/tex]

So [tex]3^n.3-3^n[/tex]

Now take [tex]3^n[/tex] as common

[tex]3^n(3-1)=2.3^n[/tex] = R.H.S

Hence proved

Answer Link

Otras preguntas

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Let's practice by using the distributive proper

Simple duplicate removal Write a function that receives a StaticArray where the elements are already in sorted order and returns a new Static Array with all of

She Found me........

Which of the following does not contain a sentence fragment? A. When traveling outside of the United States. One must obtain a passport at least 45 days ahead

Consider a wheel of radius R and centre "O", Let the wheel be "rolling" in the (x-y) plane, with the centre of mass velocity ~v, in the direction of +ve x, with

from the tabulated data presented here (excerpted from appendix c), calculate δg° for the following reaction: 4 no(g) ➔ 2 n2o(g) o2(g).

is w is a subspace of v? if not, state why. assume that v has the standard operations. (select all that apply.) w = {(x1, x2, 0, x3): x1, x2, and x3 are real nu

President Nixon's strategy to get out of Vietnam was peace talks in Paris, and at the same time, Vletnanization, or to turn the war over to

1. What are some of the reasons for implementing control systems for projects? 2. Describe how a Project Manager can use the (a) cost management plan, (b) chang

If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec Theta? A unit circle is shown. A ray intersec