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the sum of difference of two GP . Is...

the sum of difference of two GP . Is again a GP.

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The sum of infinite number of terms of a G.P. is 4 and the sum of their cubes is 192. Find the series.

The sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100. Then find the common ratio of G.P.

The sum of the first ten terms of an A.P. , equals 155 and the sum of the first two terms of a G.P. equals 9. The first term of the A.P. is equal to the common ratio of the G.P. and the common difference of the A.P. is equal to the first term G.P.. Give that the common difference of the A.P. is less then unity, which of the following is correct ?

The sum to infinity of a G.P. is 15 and the sum of squares of its terms is 45. Find the G.P

The sum of the first three terms of G.P. is 7 and the sum of their squares is 21. Determine the first five terms of the G:P.

The first term of a G.P. is 2 and each of its term is equal to sum of the succeding terms of the G.P. Find the G.P.

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

The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the GP.

The sum of first three terms of a G.P is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.

If the sum of an infinite decreasing G.P. is 3 and the sum of the squares of its term is 9/2, then write its first term and common difference.

VMC MODULES ENGLISH-SEQUENCE AND SERIES -JEE MAIN & Advance ( ARCHIVE)
  1. the sum of difference of two GP . Is again a GP.

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  2. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

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  3. about to only mathematics

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  4. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

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  5. about to only mathematics

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  6. The number a, b and c are between 2 and 18, such that (i) their su...

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  7. Does there exist a geometric progression containing 27 and 8 and 12 as...

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  8. If the m th, n th and p th terms of an AP and GP are equal and are x ,...

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  9. about to only mathematics

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  10. If S(1), S(2), S(3),...,S(n) are the sums of infinite geometric series...

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  11. The sum of the squares of three distinct real numbers which are in G...

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  12. If a , b , c , are positive real numbers, then prove that (2004, 4M) {...

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  13. If a,b,c are in AP and a^(2),b^(2),c^(2) be in HP. Then, prove that -(...

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  14. If A1,A2 be two A.M.\'s G1,G2 be the two G.M.\'s and H1,H2 be the two ...

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  15. Let a(1), a(2)...be positive real numbers in geometric progression. Fo...

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  16. If x,y,z are in HP, then show that log(x+z)+log(x+z-2y)=2 log (x-z)

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  17. about to only mathematics

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  18. If a >0,b >0 and c >0 prove that (1984, 2M) (a+b+c)(1/a+1/b+1/c)geq9

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  19. If the sum of first n terms of an A P is c n^2, then the sum of square...

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  20. Let Sn=sum(k=1)^(4n)(-1)(k(k+1))/2k^2dot Then Sn can take value (s) 10...

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  21. Let f(x)=ax^2 + bx+c whose roots are alpha and beta , a ne 0 and tr...

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