SOLUTION: find the mean of all of the numbers from 1 to 1000 that end in 2 a 496 b 497 c 498 d 500

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Question 344995: find the mean of all of the numbers from 1 to 1000 that end in 2
a 496 b 497 c 498 d 500
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
We need to find their sum and the number of terms

The sum is

Sn = 2+12+22+32+42+52+62+72+82+92+102+ ... +972+982+992

This is an arithmetic series with  and  and 















So there are 100 terms:

The sum formula is:

Sn = 

S100 = 

S100 = 

So the average term is their sum divided by 100, the number of terms

 = 497.

Edwin
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