यदि `a=1+2+4+……n` पदों तक
`b=1+3+9+…..n` पदों तक
`c=1+5+25+……n` पदों तक
तो सिद्ध कीजिए कि -
`|(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n))|=0.`

If a=1+2+4+… to n terms, b=1+3+9… to n terms and c=1+5+25+… to n terms, then the value of |(a, 2b,4c),(2,2,2),(2^(n),3^(n),5^(n))| is -

{:("If",a = 1 + 2 + 4 + ..."to n terms"),(,b = 1 + 3 + 9 + ..."to n terms"),(,c =1 + 5 + 25+ ..."to n terms"):} then |(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n))|=

{:("If",a = 1 + 2 + 4 + ..."to n terms"),(,b = 1 + 3 + 9 + ..."to n terms"),(,c =1 + 5 + 25+ ..."to n terms"):} then |(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n))|=

{:("If",a = 1 + 2 + 4 + ..."to n terms"),(,b = 1 + 3 + 9 + ..."to n terms"),(,c =1 + 5 + 25+ ..."to n terms"):} then |(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n))|=

{:("If",a = 1 + 2 + 4 + ..."to n terms"),(,b = 1 + 3 + 9 + ..."to n terms"),(,c =1 + 5 + 25+ ..."to n terms"):} then |(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n))|=

If a=1+2+4+ . . . . upto n terms b=1+3+9+. . . . upto n terms c=1+5+25+. . . . upto n terms then Delta= |[a,2b,4 c],[2,2,2],[2^n,3^n,5^n]|=

If \ ^(n+1)C_3=2.\ \ ^n C_2\ t h e n= 3 b. 4 c. 6 d. 5

2C_(0)+5C_(1)+8C_(2)++(3n+2)C_(n)=(3n+4)2^(n-1)

Evalute: (Without expanding at any stage) |(a,2b,4c),(2,2,2),(2^(n),3^(n),5^(n))| , where a = 1 + 2 + 4 + …. upto n terms, b= 1 + 3 + 9 + …. upton n terms and c=1 +5+25 …upto n terms.

Show that C_2 + 2C_3 + 3C_4 + ... + (n-1)C_n = 1+ (n-2) 2^(n-1)