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if the ratio of the sum of n terms of two A Ps is (3n + 5) : (5n - 9). Show that their 4th terms are equal.

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The sums of first n terms of two A.P.'s are in the ratio (3n+5) : (5n - 9). Show that their 4th terms are equal.

If the ratiio of the sum of n terms ofd two AP's is (3n+1):(2n+3) then find the ratio of their 11th term

The ratio if the sum of n terms of two A.P,s is (7n+1):(4n+27). Find the ratio of their 22^(nd) terms.

The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2) . Show that the ratio mth and nth term is (2m-1) : (2n-1).

The sums of n terms of two A.P.'s are in the ratio (4n-13) : (3n + 10). Find the ratio of their 9th terms.

If the sum of 1st n term of an AP is n(3n + 5), find its 10th term

The sum of n terms of an A.P. is 3n^(2) + 5n . Find the number of the term which is equal to 152.

The ratio of the sums of m and n terms of an A.P. is m^2 : n^2. Show that the ratio of m^(th) and n^(th) term is (2m-1) : (2n -1) .

If the sum of n terms of an A.P. is 3n^2 + 5n and its m^("th") term is 164, find the value of m .

If the sum of n terms of a G.P. is 3-(3^(n+1))/(4^(2n)) , then find the common ratio.

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 13-EXERCISE
  1. Prove that by mathematical induction : 3^(2n+ 2) - 8n - 9 is divisible...

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  2. If x=a+b,y=aw+bw^2,z=aw^2+bw,show that xyz=a^3+b^3

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  3. if the ratio of the sum of n terms of two A Ps is (3n + 5) : (5n - 9)...

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

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  5. Show that the straight line (a + 2b) x + (a -3b)y + b -a = 0 always p...

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  6. Find the equations of straight line which are perpendicular to the str...

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  7. y = 2x is a chord of the circle x^2 + y^2 -10 x = 0. Find the equation...

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  8. Find the ratio in which the plane 2x + 2y - 2z = 1 divides the line se...

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  9. Evaluate :lim(xrarroo)[(1^(1//x)+2^(1//x)+3^(1//x))/3]

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  10. Differentiate x^(-2/3) with respect to x, with behalf of definition.

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  11. Prove that sqrt3is irrational, (use the method of contradiction)

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  12. If x and y are odd integers, then xy is also an odd integer r examine ...

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  13. The probability of occurrence of at least one event of two events X an...

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  14. If the co-efficient of variation of two frequeny distribution are 58% ...

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  15. Prove that (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

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  16. In /\ABC,Prove that a cos A + b cos B + c cos C = 2a sin B sin C

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  17. If a1,a2,a3,...,aaare in A.P then show that 1/(a1a2)+1/(a2a3)+1/(a3a4)...

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  18. Solve x^2 -(7 -i)x + (18 -i) = 0 and hence prove that the roots are no...

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  19. The Indian cricket eleven is to be selected out of 15 players. 6 of th...

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  20. Draw the graph and' find the common region of the system of following ...

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