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Using Binomial Theorem, indicate which n...

Using Binomial Theorem, indicate which number is larger `(1.1)^10000` or 1000.

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PSEB-BINOMIAL THEOREM-EXERCISE
  1. Using binomial theorem, evaluate the following: (101)^4

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  2. Using binomial theorem, evaluate the following: (99)^5

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  3. Using Binomial Theorem, indicate which number is larger (1.1)^10000 or...

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  4. Find (a + b)^4 -(a -b)^4 . Hence, evaluate (sqrt3+sqrt2)^4-(sqrt3-sqrt...

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  5. Find (x + 1)^6 + (x -1)^6. Hence or otherwise evaluate (sqrt2+1)^6 + (...

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  6. Show that 9^(n+1) -8n -9 is divisible by 64, whenever n is a positive ...

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  7. Prove that sum(r=0)^n 3^r "^nCr= 4^n.

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  8. Find the coefficient of x^5 in (x + 3)^8

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  9. Find the coefficient of a^5 b^7 in (a - 2b)^12 .

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  10. Write the general term in the expansion of (x^2 - y)^6

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  11. Write the general term in the expansion of (x^2 - yx)^12 , x ne 0.

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  12. Find the 4th term in the expansion of (x-2y)^12.

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  13. Find the 13th term in the expansion of (9x-1/(3sqrtx))^18, x ne 0.

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  14. Find the middle terms in the expansion of:- (3- x^3/6)^7

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  15. Find the middle terms in the expansion of:- (x/3+9y)^10.

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  16. In the expansion of (1 + a)^(m+n), prove that coefficients of a^m and ...

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  17. The coefficients of the (r-1)^(th),r^(th) and (r+1)^(th) terms in the ...

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  18. Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is tw...

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  19. Find a positive value of m for which the coefficient of x^2 in the exp...

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  20. Find a, b and n in the expansion of (a+b)^n if the first three terms o...

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