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how that the coefficient of (r+1) th in...

how that the coefficient of (r+1) th in the expansion of `(1+x)^(n+1)` is equal to the sum of the coefficients of the r th and (r+1) th term in the expansion of `(1+x)^n`

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the term independent of x in the expansion off the following expr...

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  2. If the coefficients of (2r + 1)th term and (r + 2)th term in the expa...

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  3. how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) ...

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  4. Prove that the term independent of x in the expansion of (x+1/x)^(2n) ...

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  5. If the coefficients of 5th, 6th , and 7th terms in the expansion of (1...

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  6. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1...

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  7. If in the expansion of (1 + x)^n, the coefficients of pth and qth term...

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  8. Find a if the coefficients of x^2 and x^3 in the expansion of (3+a ...

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  9. Find the coefficient of a^4 in the product (1+2a)^4(2-a)^5 using binom...

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  10. In the expansion of (1+x)^n the binomial coefficients of three consecu...

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  11. If in the expansion of (1+x)^n the coefficient of three consecutive te...

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  12. If in any binomial expansion a, b, c and d be the 6th, 7th, 8th and 9t...

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  13. If the coefficients of three consecutive terms in the expansion of (1+...

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  14. If the 6th, 7th, 8th terms in the expansion of (x+ y)^n be 112, 7 and ...

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  15. If the 2nd, 3rd and 4th terms in the expansion of (x+a)^n are 240, ...

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  16. Find a, b and n in the expansion of (a+b)^n if the first three t...

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  17. If p is a real number and if the middle term in the expansion of (p/2+...

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  18. Write the number of terms in the expansion of (2+sqrt(3)x)^(10)+(2-sqr...

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  19. Write the middle term in the expansion of ((2x^2)/3+3/(2x^2))^(10)dot

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  20. Which term is independent of x in the expansion of (x-1/(3x^2))^9?

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