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Old 10-06-2004, 12:56 PM   #14 (permalink)
mathmo
Tilted
 
Location: London, UK
Hope this answer isn't too late...

For Question 1, seeing as you are taking an average, you can you the formula for summing an arithmetic progression.

This is given by:

n/2(2a + (n-1)d)

Where n is the number of terms, 999 in this case
a is the first term, d is the difference in the progression.

Thus the average is then:

1/2(2a + (n-1)d)

So, the answers are:

A 500
B 1000
C 999
D 2000

Note that C is different to B as a=1, n=999, d = 2 for C so the above expression is:

1/2(2 + 998*2) = 1 + 998 = 999

whereas a = 2, n = 999, d = 2 for B

Perhaps someone can double check this, but I reckon it is right
mathmo is offline  
 

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