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.

Guest Jun 15, 2018

This is from WolframAlpha


ElectricPavlov  Jun 15, 2018

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






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

Melody  Jun 15, 2018

Melody = BEST answer !

ElectricPavlov  Jun 15, 2018

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

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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