If (1+x+x 2 ) 6n =a 0 +a 1 x+....then (a 0 +a 3 +a 6 +.....)= (a)3 6n-1 (B)3 6n+1 (c)3 6n -1 (D)3 6n+1 -1

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askiitian expert akshay singh · Answer

HI VAIBHAV,

You can do this problem using a short trick,which is used generally to solve objective problems involving n,this will save ur time and u'll get the correct answer.Do onething put n=1/3,so expression becomes (1+x+x²)² =1+2x+3x²+2x³+x⁴now a₀+a₃=1+2=3...........now solve all the answers for n=1/3 u'll find that option (a)3^6n-1=3 is the correct answer.

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If (1+x+x 2 ) 6n =a 0 +a 1 x+....then (a 0 +a 3 +a 6 +.....)= (a)3 6n-1 (B)3 6n+1 (c)3 6n -1 (D)3 6n+1 -1

If (1+x+x²)⁶ⁿ=a₀+a₁x+....then

(a₀+a₃+a₆+.....)=

(a)3^6n-1

(B)3⁶ⁿ⁺¹

(c)3⁶ⁿ-1

(D)3⁶ⁿ⁺¹-1

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If (1+x+x 2 ) 6n =a 0 +a 1 x+....then (a 0 +a 3 +a 6 +.....)= (a)3 6n-1 (B)3 6n+1 (c)3 6n -1 (D)3 6n+1 -1

If (1+x+x2)6n=a0+a1x+....then (a0+a3+a6+.....)= (a)36n-1 (B)36n+1 (c)36n-1 (D)36n+1-1

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If (1+x+x²)⁶ⁿ=a₀+a₁x+....then

(a₀+a₃+a₆+.....)=

(a)3^6n-1

(B)3⁶ⁿ⁺¹

(c)3⁶ⁿ-1

(D)3⁶ⁿ⁺¹-1