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If the sum of first n terms of a G.P is ...

If the sum of first n terms of a G.P is p and the sum of the first 2n terms is 3p,show that the sum of first 3n terms is7p.

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If the sum of the first n terms of a G.P. = p and the sum of the first 2n terms = 3p, show that the sum of first 3n terms = 7p.

If the sum of sirst n terms of a G.P is p.sum of its first 2n terms is 3p,Prove that the sum of its first 3n terms is 7p.

If the sum of first n terms of G.P. is S and the sum of its first 2n terms is 5S, then show that the sum of its first 3n terms is 21S.

The sum of first P terms of an A.P. is equal to the sum of its first Q terms. Show that the sum of its first (P+Q) terms is zero.

The sum of the first 4 terms of a G.P. is 40 and the sum of first 8 terms is 3280. Obtain the G.P.

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.

An A.P. consists of n terms. If the sum of its first three terms is x and the sum of the last three terms is y, then show that, the sum of all the terms of the A.P. is (n)/(6)(x+y) .

The nth term of an A.P. is p and the sum of its first n terms is q. Prove that its first term is (1)/(n)(2q-p n) .

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

The sum of the first p terms of an A.P. is q and the sum of the first q terms of the same A.P. is p. Find the sum of the first (p+q) terms of the A.P.

UNITED BOOK HOUSE-KALIDHAN INSTITUTION-EXERCISE
  1. If the term independetn of x in the expansion of (k/3x^2-3/(2x))^9be 2...

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  2. Find the sum :3.1^2+4.2^2+5.3^2+....upto n terms.

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  3. A straight line passes through the point (2,3) and is such that the po...

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  4. Find the image of the point (3,8) with respect to the line x + 3y = 7 ...

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  5. The sum of the distances of a moving point from the points (c,0)and (-...

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  6. If the sum of first n terms of a G.P is p and the sum of the first 2n ...

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  7. The roots of the equation x^2+3x+4=0are alphaand beta.Form the equati...

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  8. Foe any two events A and B prove that ,P(A)geP(AcapB)geP(A)+P(B)-1

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  9. Two fair dice are thrown simultaneously .The two scores are then multi...

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  10. Find the maximum and minimum values of 3sintheta+4costheta+5

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  11. Find the locus of a point which forms a triangle of area 21 square uni...

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  12. Show that sin16^@+cos16^@=1/sqrt2(sqrt3cos1^@+sin1^@)

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  13. Sin A=m sin B,show that ,tan((A-B)/2)=(m-1)/(m+1)tan((A+B)/2)

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  14. Exhibit graphically the solution sets of the following system of linea...

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  15. State the fundamental theorem of algebra.solve the following in the co...

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  16. How many 4 digit numbers can be formed form the digits,1,1,2,2,3,3,4,4...

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  17. Find the sum upto n terms:0.7+0.77+0.777+…

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  18. The co-ordinates of A,B,C are (6,3),(-3,5)and (4,-2) respectively and ...

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  19. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

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  20. Find the equations of the lines passing thorugh the point (4,5)making ...

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