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If n A.Ms are inserted between two numbe...

If n A.Ms are inserted between two numbers, prove that the sum of the means equidistant from the beginning and the end is constant.

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. There are n A.M.s between 3 and 17. The ratio of the last mean to the ...

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  2. Insert AMs between 7 and 71 such that 5^(th) AM is 27. Also find the n...

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  3. If n A.Ms are inserted between two numbers, prove that the sum of the ...

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  4. Insert five numbers between 8 and 26 such that the resulting sequence ...

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  5. A man saved Rs. 16500 in ten years. In each year after the first he sa...

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  6. A man saves Rs. 32 during the first year, Rs. 36 in the second year an...

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  7. A man arranges to pay a debt of Rs 3600 in 40 monthly installments whi...

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  8. A manufacturer of radio sets produced 600 units in the third year and ...

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  9. 25 trees are planted in a straight line 5 metre apart from each other....

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  10. A man is employed to count Rs. 10710. He counts at the rate of Rs. 180...

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  11. A piece of equipment cost a certain factory Rs. 600,000. If it depre...

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  12. A farmer buys a used tractor for Rs. 12000. He pays Rs. 6000 cash and ...

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  13. Shamshad Ali buys a scooter for Rs. 22000. He pays Rs. 4000 cash and ...

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  14. the income of a person is Rs. 300,000 in the first year and he rece...

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  15. A man starts repaying a loan as first instalment of Rs. 100. If he ...

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  16. A man accepts a position with an initial salary of Rs. 5200 per mon...

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  17. In a cricket team tournament 16 teams participated. A sum of Rs 8000 i...

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  18. A man saved Rs. 66000 in 20 years. In each succeeding year after the ...

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  19. Write the common difference of an A.P. whose nth term is x n+ydot

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  20. Write the common difference of an A.P. the sum of whose first\ \ n ter...

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