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If (a^(n+1)+b^(n+1))/(a^n+b^n) is the A....

If `(a^(n+1)+b^(n+1))/(a^n+b^n)` is the A.M. between `aa n db` . Then, find the value of `ndot`

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Arithmetic mean of a and b, AM `= (a+b)/2`
Given AM `= (a^n+b^n)/(a^(n-1) +b^(n-1))`
`=> (a+b)/2 = (a^n+b^n)/(a^(n-1) +b^(n-1))`
Cross multiply
...
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Find the 8th term from the end of the A.P. 7,10,13, ..., 184

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  2. Find the sum of all three digit natural numbers, which are divisible b...

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  3. If (a^(n+1)+b^(n+1))/(a^n+b^n) is the A.M. between aa n db . Then, fin...

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  4. Find the number of integers between 50 and 500 which are divisible by ...

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  5. 150 workers were engaged to finish a piece of work in a certain number...

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  6. How many numbers of two digits are divisible by 7?

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  7. Along a road lie an odd number of stones placed at intervals of 10 met...

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  8. Divide 32 into four parts which are in A.P. such that the product of ...

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  9. Find the sum of first 30 terms of an A.P. whose second term is 2 and ...

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  10. Ramkali would need Rs. 1800 for admission fee and books etc., for her ...

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  11. The first and the last terms of an A.P. are 5 and 45 respectively. If ...

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  12. Two cars start together in the same direction from the same place. The...

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  13. The sum of the third and the seventh terms of an AP is 6 and their ...

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  14. If (m+1)^(t h) term of an A.P. is twice the (n+1)^(t h) term, prove th...

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  15. In a school students thought of planting trees in and around the sc...

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  16. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

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  17. The ratio of the sum of n terms of two A.Ps is (7n+1):(4n+27)dot Find ...

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  18. If there are (2n+1) terms in A.P., then prove that the ratio of the s...

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  19. Raghav buys a shop of Rs. 1,20,000. He pays half of the amount in cash...

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  20. Which term of the A.P. 3,15,27, 39, ... will be 120 more than its 21st...

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