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C(1) + C(2) + C(3) + ……….. C(7) = 127...

`C_(1) + C_(2) + C_(3) + ……….. C_(7) = 127`

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C_(1) + C_(2) + C_(3) + …… C_(6) = 63

C_(1) + C_(2) + C_(3) + ….. C_(n) = 2^(n)-1

C_(0) + C_(1) + C_(2) +….. C_(8) = 256

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_(2) + C_(4) +…… + C_(12) = C_(1) + C_(2) + C_(3) + C_(5) + ……. + C_(11) = 2048

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

Prove that: C_(1) + 2C_(2) + 3C_(3) + 4C_(4) +….. + nC_(n) = n.2^(n-1)

Prove that : C_0 + C_1/2 + C_2/3 + ….. + C_n/(n+1) = (2^(n+1) - 1)/(n+1)

If A= [{:(1," 2",-1),(3,-2," 5"):}] , then R_(1) harr R_(2) and C_(1) rarr C_(1) + 2C_(3) given