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Hello everyone, I just have one math question and I'd appreciate it if I could possibly get some help. I also ask that you show your work so that I won't be just 'getting an answer' but rather so that I can understand the process and learn how to solve similar problems like this one. Thanks a lot for all of your help. :)

 

Here's the question: What is the sum of the first 893 EVEN numbers?

 

Thanks in advance for your help.

 Jun 15, 2018
 #1
avatar+17331 
+1

This is from WolframAlpha

 

 Jun 15, 2018
 #2
avatar+99301 
+2

Here's the question: What is the sum of the first 893 EVEN numbers?

 

This is an Arithemetic progression.

Even numbers can be negative, I assume you do not mean thoses.

So do you want to include 0 or not?

 

Ok, lets not include 0, the first one can be 2

 

a=2

n=893

d=2

 

\(S_n=\frac{n}{2}[2a+(n-1)d]\\ S_{893}=\frac{893}{2}[2*2+(893-1)*2]\\ S_{893}=\frac{893}{2}*2[2+(893-1)]\\ S_{893}=893*[2+(892)]\\ S_{893}=893*[894]\\ S_{893}=798 \;342\\ \)

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 Jun 15, 2018
 #3
avatar+17331 
+1

Melody = BEST answer !

ElectricPavlov  Jun 15, 2018
 #4
avatar+1365 
+1

Melody’s answer may be the best, but your answer teaches students auxiliary skills, such as how to use a magnifying glass, or the “zoom” feature in their computer or tablet.smiley

GingerAle  Jun 15, 2018
 #5
avatar+17331 
+1

True!   I just used 'print screen' to transfer the answer....once I 'posted' it,I too had to use the 'zoom' to actually read it !     Just trying to provide a broad educational eperience !   Haha

ElectricPavlov  Jun 15, 2018

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