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Find a if the 7th and 18th terms of the ...

Find `a` if the 7th and 18th terms of the expansion `(2+a)^(50)` are equal.

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a=1
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MAHAVEER PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. Find the co-efficient of 1/x in the expansion of (3/x^2-x^3/3)^8.

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  2. Expand of the expression : (2x-3)^6

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  3. Expand of the expression : (x/3+1/x)^5

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  4. Expand of the expression : (x+1/x)^6

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

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  6. Find a if the 7th and 18th terms of the expansion (2+a)^(50) are equal...

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  7. Find the coefficient of x^6y^3 in the expansion of (x+2y)^9dot

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  8. Find the 13^(t h)term in the expansion of (9x-1/(3sqrt(x)))^(18),x!=0

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  9. Find middle term of (x+2/(x^2))^17

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  10. Find middle term of (x+2/(x^2))^16

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  11. Find the middle term in the expansion of (3x-(x^3)/6)^9

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  12. Find middle term of (2x+1/(x^2))^18

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  13. Show that there are no terms independent of in the expansion of (x+1/x...

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  14. Find the co-efficient of x^4 in the expansion of (2x^2+1/x)^20.

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  15. Find the co-efficient of y^4 in (y+c^3/y^2)^10.

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  16. Write down the 6^(th) term in the expansion of (x^2-2x)^10.

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  17. Find the term of x in the following binomial expansions (x!=0): (2x^2-...

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  18. Find the term independent of x in the expansion of ((3)/(2) x^(2) -...

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  19. Find the term independent of x in the expansion off the following expr...

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  20. If (1+x)^n=C0+C1x+C2x^2++Cnx^n, prove that C1+2C2+3C3++ ^nCn=n2^(n-1)

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