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avatar+526 

If    k=|2.3k13.4k14.5k1αβγ3n14n15n1|  then the value of k=1nk  depends

​1) only on α,β and not on γ

2) on none of α,β and γ

3) on all of α,β and γ

4) only on α not on β and γ

 

Also give possible explanation for the same. 

 May 7, 2021
 #1
avatar+33652 
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It looks like 2) is the answer.  

I used the symbolic mathematics part of Mathcad to do this.  I guess that with a lot of tedious manipulation by hand you would be able to show the coefficients of alpha, beta and gamma are all zero.  I didn't see any nice shortcut!

 May 14, 2021

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