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Summing arithmetic series (1 Viewer)

enigma_1

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hey guys how do you do these? Thanksss a lot!! :)

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What is an odd number? Hence what are the odd multiples of 100?
 

Chris100

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Use the formula
S=n/2(a+l) for the bottom question
answer should be 10 trips, 1km apart
 

braintic

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Aren't multiples of 100 these: 100, 200, 300 .... How can they be odd?
You are parsing the sentence incorrectly.

It should be "the (odd multiples) of 100", not "the odd (multiples of 100)"
 
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...

Odd multiples of 100:



In HSC terms:

x is 100 multiplied by y, where y is an odd number ranging from 1, 3, 5...
 

bokat

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The solution for 6d is as follows.
By odd multiples of 100 they mean: 1x100, 3x100, 5x100 etc.
So the terms are 100,300,500,....,(2n-1)x100
The term no. n being (2n-1)x100 ,a=100 and d=200
Using the sum formula s=n/2(2a+(n-1)d) we get:
s=n/2(2x100+(n-1)200) which gives s=100 x n^2

I hope it is clear.

Reza Bokat,
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The question is ambiguous and poorly worded though. It should have been expressed better.
There's no doubting this, but there really were only 2 options and one was clearly not possible (100 being odd)
 

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