If △k=|2.3k−13.4k−14.5k−1αβγ3n−14n−15n−1| then the value of ∑k=1n△k 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.
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!