1 answer

1. Use the binomial theorem to show i) Ek_0 () = 21; ii) _o(-1)* (m.) =...

Question:

1. Use the binomial theorem to show i) Ek_0 () = 21; ii) _o(-1)* (m.) = 0; and finally that the sum of the ( over odd k equal
1. Use the binomial theorem to show i) Ek_0 () = 21; ii) _o(-1)* (m.) = 0; and finally that the sum of the ( over odd k equals that over the even k and that both are 21-1. (Hint: for iii) add and subtract the results of i) and ii). For i) and ii) put x and y equal to suitable values in the binomial theorem). (15 points)

Answers

- By binomial theorem (x+y) = (3) x + (*) x4\y+...+ (%) 7900 @ Put X=1, 7=1 =(1+) = () +(?) + - +() © Rut X=1,42-1 in *(1+(- alternate teams cancel each other Adding @ and ® ***032 (19)+ BC* (P) ogn=25C%)+ (%)+ (%)+-) (cancer each) gray = 10)+(2+(9

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