For an arithmetical progression a1, a2, a3, ...

\(a_1^2 - a_2^2 + a_3^2 - a_4^2 + ... - a_{2k}^2 = ?\)

d being the common difference 

1
-kd (a1 + a2k)
2
kd (a1 + a2k)
3
-kd (a1 - a2k)
4
kd (a1 - a2k)

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