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The sums of n terms of two AP's are in t...

The sums of n terms of two AP's are in the ratio `(3n-13):(5n+21)`. Find the ratio of their `24^(th)` terms.

A

`1/2`

B

`2/3`

C

`2/1`

D

`3/2`

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The correct Answer is:
A
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CENGAGE-PROGRESSIONS -TEST YOURSELF (Level 3) (Multiple Choice Questions)
  1. Which of the following can't be an AP (n^(th) term is given) ?

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  2. If mth term of an AP is 1/n and nth term is 1/m then mnth term of the ...

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  3. The sums of n terms of two AP's are in the ratio (3n-13):(5n+21). Find...

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  4. How many terms of the series 20+19(1)/(3)+18(2)/(3)+ . . . must be ta...

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  5. If N be the set of natural numbers is partitioned into groups S(1)=(1)...

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  6. If (1+3+5+ . . .+p)+(1+3+5+ . . .+q)=(1+3+5+ . . .+r), where each set ...

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  7. Let alpha,beta be roots of the equations x^(2)-2x+A=0 and gamma,delta ...

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  8. If a,b,c and d are distinct integers which form an increasing AP such ...

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  9. If the p^(th), q^(th) and r^(th) terms of an A.P. be a, b, c respectiv...

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  10. Let S(n) denotes the sum of n terms of an AP. If S(2n)=3S(n), then the...

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  11. If a(1),a(2),a(3), . . .,a(n) are in AP, where a(i)gt0 for all i, the...

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  12. If m+n)th and (m-n)th terms of a GP are p and q, respectively, then th...

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  13. Find the sum up to n terms of the series a+aa+aaa+aaaa+ . . ., AA a in...

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  14. Find the sum up to n terms of the series 0.b+0.bb+0.bbb+0.bbbb+ . . .,...

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  15. Let x(1),x(2) be the roots of the equation x^(2)-3x+A=0 and let x(3),x...

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  16. Let a,b,c be in AP and a^(2),b^(2),c^(2) be in GP. agtbgtc and a+b+c=3...

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  17. Let a,b,c,d and e be five real numbers such that a,b,c are in AP, b,c,...

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  18. Find n so that (a^(n+1)+b^(n+1))/(a^(n)+b^(n)) be the AM be and b. (if...

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  19. There are n AM's between 3 and 54 such that 8^(th) mean is to (n-2)^("...

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  20. Find n, so that (a^(n+1)+b^(n+1))/(a^(n)+b^(n))(a!=b) is the GM betwee...

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