+0  
 
0
167
5
avatar+2765 

\( \dfrac{2027!+2028!}{2028!-2029!}\)

tertre  Mar 6, 2017

Best Answer 

 #3
avatar+92805 
+5

Hi Tetre :)

 

\(\dfrac{2027!+2028!}{2028!-2029!}\\ =\dfrac{2027!+2027!*2028}{2028!-2028!*2029}\\ =\dfrac{2027!(1+2028)}{2028!(1-2029)}\\ =\dfrac{2027!(2029)}{2028!(-2028)}\\ =\dfrac{(2029)}{2028(-2028)}\\ =\dfrac{-2029}{2028^2}\\\)

 

-2029/(2028*2028) = -0.000493339791246

Melody  Mar 6, 2017
 #1
avatar+3 
0

-4055

jroozeboom  Mar 6, 2017
 #2
avatar+87309 
+5

[ 2027! + 2028!]  / [ 2028! - 2029! ]

 

Note that we can write this as

 

[ (2027!) (1 + 2028) ]  / [ (2027!) ( 2028 - 2028*2029) ] =

 

(1 + 2028) / [ 2028 ( 1 - 2029)]

 

(2029) / [ 2028 (-2028)] =

 

-(2029) / 2028^2  =

 

-2029 / 4,112,784

 

 

cool cool cool

CPhill  Mar 6, 2017
 #3
avatar+92805 
+5
Best Answer

Hi Tetre :)

 

\(\dfrac{2027!+2028!}{2028!-2029!}\\ =\dfrac{2027!+2027!*2028}{2028!-2028!*2029}\\ =\dfrac{2027!(1+2028)}{2028!(1-2029)}\\ =\dfrac{2027!(2029)}{2028!(-2028)}\\ =\dfrac{(2029)}{2028(-2028)}\\ =\dfrac{-2029}{2028^2}\\\)

 

-2029/(2028*2028) = -0.000493339791246

Melody  Mar 6, 2017
 #4
avatar+19653 
0

help please!!!

\(\dfrac{2027!+2028!}{2028!-2029!}\)

 

\(\begin{array}{|rcll|} \hline && \dfrac{2027!+2028!}{2028!-2029!} \\\\ &=& \dfrac {\frac{2028!}{2028} +2028!} {2028!-2028!\cdot 2029} \\\\ &=& \dfrac { 2028!\cdot \left( \frac{1}{2028} + 1\right) } { 2028!\cdot (1-2029) } \\\\ &=& \dfrac { \frac{1}{2028} + 1} { 1-2029 } \\\\ &=& \dfrac { \frac{1}{2028} + 1} { -2028 } \\\\ &=& \dfrac { 1+2028 } { -2028^2 } \\\\ &=& -\dfrac { 2029 } { 2028^2 } \\\\ \hline \end{array} \)

 

laugh

heureka  Mar 6, 2017
 #5
avatar
0

(2027! + 2028!)/(2028! - 2029!) = (2026!! 2027!! + 2027!! 2028!!) / (2027!! 2028!! - 2028!! 2029!!), where !! = Double factorial. OR: (2027! + 2028!)/(2028! - 2029!) = (Γ(2028) + Γ(2029))/(Γ(2029) - Γ(2030)), where Γ = The Gamma function.

Guest Mar 6, 2017

5 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.