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n^2-1 is divisible by 8, if n is...

`n^2-1` is divisible by 8, if n is

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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 1.4 (Level-2)
  1. n^2-1 is divisible by 8, if n is

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  2. Find the coefficient of term independent of x in the expansion of ((x+...

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  3. Find coeff. of x^(25) in the expansion of sum(k=0)^(50)(-1)^(k)""^(5...

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  4. Find the coefficient of x^6 in the expansion of (1+ x^2 - x^3)^8

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  5. Find the coefficient of x^(10) in the expansion of (1+x^(2)-x^(3))^(8)

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  6. Find the coefficent of x^(6) in (1+3x+9x^(2))^(10)

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  7. If the 6th term in the expansion of ((1)/(x^(8//3))+x^2 log10 x)^8 is ...

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  8. Find the range of values of the term independent of x in (x sin^(-1)p+...

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  9. The remainder when 5^(99) is divided by 13 is

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  10. Find the remainder when 3^(37) is divided with 80 ?

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  11. Find the remainder when 2^(60) is divided with 7.

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  12. Find the number of distinct terms in the expansion (x + 2y + 3z + ...

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  13. Find the number of distinct terms in the following expansions. (x^(2...

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  14. Find the number of distinct terms in the following expansions. (p+q)...

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  15. Find the number of distinct terms in the expansion (x+ y + z)^10+ ...

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  16. Prove that, C(0) *""^(2n)C(n)-C(1)*""^((2n-2))C(n)+C(2) *""^((2n-4))C(...

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  17. If (1+x)^(n)=sum(r=0)^(n)""^(n)C(r )x^(r ) and if sum(r=0)^(n) (1)/(""...

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  18. Prove that C(0)-(1)/(3)*C(1)+(1)/(5)*C(2) - …+(-1)^(n)*(1)/(2n+1)C(n) ...

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  19. If a, b, c, d be 3^(rd), 4^(th), 5^(th) and 6^(th) terms of the expans...

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  20. Show that sum(r=0)^(n) (-1)^(r ). ""^(n)C(r ) {(1)/(2^(r )) +(3^(r ))/...

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  21. If sum(r = 0)^(2n) a(r ) (x-2)^(r ) = sum(r = 0)^(2n) b(r ) (x-3)^(r )...

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