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The fifth term of GP is 81 and second te...

The fifth term of GP is 81 and second term is 24. Find the GP

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The first term of G.P. is 27 and 8th term is 1/81 . Find the sum of its first 10 terms.

The mth terms of a G.P is n and its nth term is m. Find its (2m - n)th term.

The sum of first three terms of a G.P is 13/12 and their products is -1. Find the common ratio and the terms.

The sum of first three terms of a G.P. is 39/10 and their product is 1. Find the common ratio and the terms.

The third term of a G.P. is b and its common ratio is r , then its first term =

The 3rd and the 7th terms of a G.P. are 4 and 64 respectively. Find the G.P.

The sum of first three terms of a G.P. is 13/12 and their product is – 1. Find the common ratio and the terms.

The first trem of a GP is -3 and the square of the second term is equal to its 4th term. Find its 7th term.

The 4th term and the 9th term of a GP is 54 and 13122 respectively. Find its general term.

The 4^(th) term of a G.P. is square of its second term, and the first term is – 3.Determine its 7^(th) term.

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. If P = (8 + 3sqrt(7))^(n) and f = p - [p] , where [*] denotes the grea...

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  2. Find the GP whose first term is 64 and next term is 32.

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  3. The fifth term of GP is 81 and second term is 24. Find the GP

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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