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State True or False: 6^(n) -5n is divisi...

State True or False: `6^(n) -5n` is divisible by 5, where `n in N`.

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CBSE COMPLEMENTARY MATERIAL-BINOMIAL THEOREM -LONG ANSWER TYPE QUESTIONS(Section-D)
  1. State True or False: 6^(n) -5n is divisible by 5, where n in N.

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  2. Find the coefficient of x^5 in the expansioin of the product (1+2x)^6(...

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  3. If the 3^(rd), 4^(th) and 5^(th) terms in the expansion of (x + a)^(n)...

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  4. Find the coefficients of x^7 in (a x^2+1/(b x))^(11)a n dx^(-7)in(a x^...

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  5. In (3 3+1/(3 3))^n if the ratio of 7th term from the beginning to the ...

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  6. If a1,a2, a3, a4 be the coefficient of four consecutive terms in the e...

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  7. Using Binomial theorem, find the remainder when 5^(103) is divided by ...

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  8. The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...

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  9. Find the coefficient of x^n in the expansion of (1+x)(1+x)^ndot

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  10. (sqrt2+1)^6+(sqrt2-1)^6=

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  11. find the term independent of 'x' in the expansion of (1+x+x^2)(3/2 x^2...

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  12. If the coefficients of rth, (r+ 1)th and (r + 2)th terms in the expa...

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  13. If in the expansion of (1-x)^(2n-1) ardenotes the coefficient of x^r t...

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  14. If the coefficients of 5^(th), 6^(th) and 7^(th) terms in the expansio...

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  15. Find the coefficients of x^7 in (a x^2+1/(b x))^(11)a n dx^(-7)in(a x^...

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  16. 17. If the coefficients of 2nd, 3rd and 4th terms in the expansion of ...

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  17. Show that the middle term in the expansion (x-1/x)^(2n)i s (1. 3. 5 (...

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