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Show that: C0 + C2 + C4 + C6 + C8 + C10...

Show that: `C_0 + C_2 + C_4 + C_6 + C_8 + C_10 = C_1 + C_3 + C_5 + C_7 + C_9 = 512`

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Show that C_0 + C_2 + C_4 + C_6 + C_8 = C_1 + C_3 + C_5 + C_7 = 128

Show that C_1 + C_2 + C_3 +...+ C_6 = 63

Show that : C_1 + C_2 + C_3 + …. + C_7 = 127

Show that C_0 + C_1 + C_2 +...+ C_9 = 512

C_(0) + C_(2) + C_(4) + C_(6) +C_(8) = C_(1) + C_(3) + C_(5) + C_(7) = 128

Show that C_0 + C_1 + C_2 +...+ C_8 = 256

Show that C_1 + C_2 + C_3 +...+ C_n = 2^n - 1

Show that: C_2 + C_3 + C_4 +...+ C_20 = 2^20 - 21

Show that C_(0) + C_(1) + C_(2) + …. + C_(10) = 1024

Show that: C_0 + C_1 + C_2 +..........+ C_10 = 1024