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Prove that : Prove that 2.C(0)+7.C(1)+12...

Prove that : Prove that `2.C_(0)+7.C_(1)+12.C_(2)+……..+(5n+2)C_(n)=(5n+4)2^(n-1).`

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Prove that : Prove that C_(0)+3.C_(1)+3_(2).C_(2)+……+3^(n).C_(n)=4^(n)

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Prove the following: 2*C_(0)+3*C_(1)+4*C_(2)+…+(n+2)*C_(n)=(n+4).2^(n-1)

Prove the C_(0)+2.C_(1)+4.C_(2)+8.C_(3)+…+2^(n).C_(n)=3^(n)

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3. C_0 + 7. C_1 + 11. C_2 +…...+ (4n+3) . C_n=

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-BINOMIAL THEOREM-TETUAL EXERCISES (EXERCISE - 6(c)) I.
  1. Prove that : Prove that 2.C(0)+7.C(1)+12.C(2)+……..+(5n+2)C(n)=(5n+4)2^...

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  2. Find an approximate value of the following corrected to 4 decimal pla...

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  3. Find an approximate value of the following corrected to 4 decimal pla...

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  4. Find an approximate value of the following corrected to 4 decimal pla...

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  5. Find an approximate value of the following corrected to 4 decimal pla...

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  6. Find an approximate value of the following corrected to 4 decimal pla...

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  7. Find an approximate value of the following corrected to 4 decimal pla...

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  8. If |x| is so small that x^(2) and higher powers of x may be neglected ...

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  9. If |x| is so small that x^(2) and higher powers of x may be neglected ...

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  10. If |x| is so small that x^(2) and higher powers of x may be neglected ...

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  11. If |x| is so small that x^(2) and higher powers of x may be neglected ...

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  12. If |x| is so small that x^(2) and higher powers of x may be neglected ...

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  13. Suppose s and t are positive and t is very small when compared to s. T...

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  14. Suppose p, q are positive and p is very small when compared to q. The...

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  15. By neglecting x^(4) and higher powers of x, find an approximate value ...

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  16. Expand 3sqrt(3) in increasing powers of (2)/(3).

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