Derivation of the formula for the Sum of an Arithmetic Series

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How to derive the formula for the sum of an arithmetic series.

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  1. Whiteboard Maths
  2. derivation
  3. proof
  4. maths
  5. formula
  6. arithmetic series
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Комментарии
Автор

Who else likes the way he writes his 'f's??

aneesh
Автор

many thanks, have a past paper for hw and this derivation just bagged me three marks, lets hope sir doesnt see this comment lol

ericsonofjohn
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Thanks for this it really helped with this annoying question in my maths assignment.

liamexall
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-Arithmetic sequence is a linear function
Tn=a+(n-1)d
Tn=a+dn-d

-Sum of an arithmetic sequence is a quadratic function
C equals zero
An²+bn
na+(.5n²-.5n)d

The functions intercept at T1=S1
na+(.5n²-.5n)d

HaydenJory
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In my opinion you should show that the number in the i - th location when starting with a1 plus the number in the i - th location when starting with a(n) - this sum - is always a1 + a(n)

זאבגלברד
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1:15 - why do we add those two lines?
Is there any other way to find out the formula?

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