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If the ratio of the sum of the first n t...

If the ratio of the sum of the first n terms of two Aps is (7n + 1) : (4n + 27) then find the ratio of their 9th terms.

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The correct Answer is:
`24 : 19`
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The ratio of sums of n terms of two A.P'. is (7n + 1) : (4n + 27). Find the ratio of their 11th terms.

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The sums of first n terms of two A.P.'s are in hte ratio (7n+2):(n+4). Find the ratio of their 5th terms.

The ratio of the sum of n terms of two A.P.'s is (3n+1):(4n+3). Find the ratio of their mth terms.

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EDUCART PUBLICATION-ARITHMETIC PROGRESSIONS-LONG ANSWER TYPE QUESTIONS
  1. Solve the equation -4+(-1)+2+ … +x =437.

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  2. A thief runs with a uniform speed of 100 m/min. After one minute a pol...

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  3. If the ratio of the sum of the first n terms of two Aps is (7n + 1) : ...

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  4. The 26th, 11th and the last terms of an AP are, 0, 3 and -(1)/(5),resp...

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  5. Find the sum of the following series : 5+(-41)+9+(-39)+13+(-37)+17+....

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  6. The sum of four consecutive numbers in A.P. is 32 and the ratio of the...

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  7. Solve for x: 1+4+7+10+...+x=287

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  8. The sum of the first five terms of an A.P. and the sum of the first s...

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  9. Find the (i) sum of those integers between 1 and 500 which are multi...

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  10. Find the (i) sum of those integers between 1 and 500 which are multi...

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  11. Find the (i) sum of those integers between 1 and 500 which are multi...

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  12. An AP consists of 37 terms. The sum of the three middle most terms is ...

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  13. If the sum of first p terms of an A.P. is equal to the sum of the firs...

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  14. Find the sum of the integers between 100 and 200 that are divisible by...

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  15. Find the sum of the integers between 100 and 200 that are (i) divisi...

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  16. Which term of the AP : 21, 18, 15,... is 81? Also, is any term 0? Giv...

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  17. How many terms of the arithmetic progression 45, 39, 33,….. Must be ta...

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  18. Show that the sum of an AP whose first term is a, the second term b an...

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  19. If the sum of the first four terms of an AP is 40 and the sum of the f...

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  20. The sum of the 4^(th) and 8^(th) terms of an AP is 24 and the sum of i...

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