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The sum of G. P 3, 6, 12,... 1536....

The sum of G. P `3, 6, 12,... 1536.`

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Find the 10th term of the G.P. : 12, 4, 1 1/3 ,....

Is 256 a term of the G.P. {3, 6, 12, 24,…} ?

Find the sum of the GP 1+3+9+27+........ 12terms

The sum of first 6 terms of a G.P. is 9 times the sum of its first 3 terms. Find the common ratio of the G.P.

The first and last terms of G.P. having finite number of terms are respectively 3 and 768 and the sum of the G.P. is 1533. Find the number of terms in the G.P. and its common ratio.

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

The sum of three numbers in A.P is 12 and sum of their cubes is 288. Find the numbers.

The sum of first 8 terms of a G.P. is five times the sum of the first 4 terms. Find the common ratio.

Find the fifteenth term of the A.P. {18, 12, 6, …}.

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The coefficient of the middle term in the binomial expansion in powers...

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  2. The coefficient of three consecutive terms in the expansion of (1+x)^n...

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  3. The sum of G. P 3, 6, 12,... 1536.

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  4. Prove that (25)^(n+1)-24n+5735 is divisible by (24)^2 for all n=1,2,.....

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  5. The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (a).(...

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  6. Find the coefficient of x^5 in the expansion of (1+x)^21+(1+x)^22+...+...

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  7. If x^m occurs in the expansion of (x+(1/x^2))^(2n) then the coefficien...

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

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  9. If (1+2x+x^(2))^(n) = underset(r=0)overset(2n)suma(r)x^(r), then a(r) ...

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  10. In the expansion of (x^3-1/(x^2))^n ,n in N , if the sum of the coeff...

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  11. If the coefficients of rth and (r+1)t h terms in the expansion of (3+7...

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  12. In the expansion of (1+3x+2x^(2))^(6), find the coefficient of x^(11).

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  13. If .^(n-1)Cr=(k^2-3)^nC(r+1), then k belongs to (a) (-oo,-2] (b) [2,...

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  14. Prove that (3!)/(2(n+3))=sum(r=0)^n(-1)^r((n Cr)/((r+3)C3))

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  15. Find the 5th term of the GP. 5/2, 1, .....

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  16. The expression (x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5 is a ...

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  17. Find ((dy) /dx) of sin(cosx) is

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  18. In the binomial expansion of (a-b)^n,ngeq5, the sum of the 5th and 6t...

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  19. Coefficient of x^11 in the expansion of (1+x^2)^4(1+x^3)^7(1+x^4)^12 i...

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  20. Give the integers rgt1 , ngt2 and c0-efficients of (3r)^th and (r+2)^(...

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