Find C0+C4+C8+C12+..... using expansion formula of (1+x)^n
sahil suman , 8 Years ago
Grade 12th pass
Algebra> Find C0+C4+C8+C12+..... using expansion f...
1 AnswersNitin DWIVEDI
C0+C2+C4+C6+....=2^(n-1) (Ist equation)
(1+i)^n=C0+C1i-C2-C3i+C4+C5i-C6-C7i..........(2nd equation)
From 2nd Equation
real(1+i)^n=C0-C2+C4-C6.......(3rd equation)
Adding 1 and 3rd equation
(C0+C4+C8+.....)=[real(1+i)^n +2^(n-1)]/2
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