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Find the 7th term of the GP, sqrt(3)+1,...

Find the 7th term of the GP, `sqrt(3)+1`, 1 , `(sqrt(3) -1)/2` ,.....

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Which terms of the GP: (i) 2,8,32,…… is 512? (ii) sqrt(3), 3,3sqrt(3) ,…………… is 729? (iii) 1/3, 1/9, 1/27 ,…………. Is 1/(2187) ?

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The fifth term of GP is 81 and second term is 24. Find the GP

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  2. The value of x for which the sixth term in the expansion of [2^(log(...

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  3. Find the 7th term of the GP, sqrt(3)+1, 1 , (sqrt(3) -1)/2 ,.....

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  4. The number 51^(49)+51^(48)+51^(47)+........+51+1 is divisible by a. 10...

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  5. If sum(r=0)^(n) (r)/(""^(n)C(r))= sum(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C...

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  6. If (1+x)^n=C0+C1x+C2x^2+.......+Cn x^n , then show that the sum of the...

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  7. If sum(r=0)^(n){a(r)(x-alpha+2)^(r)-b(r)(alpha-x-1)^(r)}=0, then

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  8. Let a=(2^(1//401)-1) and for each ngeq2,l e tbn=^n C1+^n C2dota+^n C3...

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  9. Prove that underset(r=0)overset(n)sum.^(n)C(r)(-1)^(r)[i^(r)+i^(2r)+i^...

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  10. The coefficients of x^n in (1+x/(1!)+x^2/(2!)+……+x^n/(n!))^2 is

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  11. If the first and third term is 2 and 8 respectively. Find its secon...

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  12. Find the next two terms of the series 2,-6,18,-54,.....

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  13. If n is a positive integer, prove that 1-2n+(2n(2n-1))/(2!)-(2n(2n-1)(...

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  14. Find the third term from the end term of the GP.2/27, 2/9, 2/8,.........

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  15. Given, sn=1+q+q^2+.....+q^n ,Sn=1+(q+1)/2+((q+1)/2)^2+... +((q+1)/2)^n...

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  16. The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+.....oo

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  17. sum(k=1)^ook(1-1/n)^(k-1) =?

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  18. The coefficient of x in the expansion of {sqrt(1+x^2)-x}^(-1) in ascen...

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  19. 1+1/3x+(1xx4)/(3xx6)x^2+(1xx4xx7)/(3xx6xx9)x^3+------ is equal to

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  20. The value of sum(r=1)^(15)(r2^r)/((r+2)!) is (a).((17)!-2^16)/((17)!) ...

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