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If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a...

If `(1+x+2x^(2)+4x^(3))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+….+a_(30)x^(30)`.
Find the value of
`a_(0) +a_(1)+a_(2)+….+a_(30)`

Text Solution

Verified by Experts

The correct Answer is:
`2^(30)`
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 1.1 (Level - 1)
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  2. If the 2^("nd"),3^("rd")" and "4^("th") terms in the expansion of (a+x...

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  3. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

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  4. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

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  5. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

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  6. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

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  7. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  8. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  9. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  10. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  11. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  12. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  13. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  14. Prove that AA n in N 3^(3n)-26n-1 is divisible by 676.

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  15. Prove that AA n in N 6^(n)-5n leaves remainder 1 when divided by 25...

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  16. Prove that AA n in N 9^(n+1)-8n-9 is divisible by 64

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  17. Prove that AA n in N 5^(4n)+52n-1 is divisible by 676.

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  18. If the coefficient of x^7 in (ax^2+(1)/(bx))^11 equals the coefficient...

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  19. Show that the number of terms with integral values in the expansion of...

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  20. Find the coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6...

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