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If 1/(x+2),1/(x+3),1/(x+5) are in A.P. ...

If `1/(x+2),1/(x+3),1/(x+5)` are in A.P. Then, `x=` (a)5 (b) 3 (c) 1 (d) 2

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Given,
`1/(x+2),1/(x+3),1/(x+5)` are in `A.P`
So,
`2b=a+c`
`=>2/(x+3)=1/(x+2)+1/(x+5) `
`=>2/(x+3)=(x+2+x+5)/((x+2)(x+5))` ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Find the 0 where the AP is 40,37,...

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  2. Find whether 0 (zero) is a term of the AP 40, 37, 34, 31, ...

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  3. If 1/(x+2),1/(x+3),1/(x+5) are in A.P. Then, x= (a)5 (b) 3 (c) ...

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  4. Find the number of natural numbers between 101 and 999 which are di...

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  5. The sum of first 6 terms of an arithmetic progression is 42. The ratio...

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  6. Find the sum of first 20 terms of an A.P., in which 3rd term is 7 a...

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  7. The sum of 5th and 9th terms of AP is 30. If its 25th term is three...

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  8. The sum of three numbers in A.P. is 12 and the sum of their cubes is ...

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  9. In an A.P., the sum of first n terms is (3n^2)/2+(5n)/2dot Find its 25...

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  10. If Sn , the sum of first n terms of an A.P., is given by Sn=5n^2+3n , ...

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  11. Find the sum of all natural numbers between 250 and 1000 which are ...

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

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  13. If m times the m^(t h) term of an A.P. is equal to n times its n^(t h)...

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  14. If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove ...

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  15. If mth term of an AP is 1/n and its nth term is 1/m , then show that i...

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  16. For the following arithmetic progressions write the first term and ...

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  17. Is 184 a term of the sequence 3,7,11, ... ?

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  18. If the 10th term of an A.Pis 52 and 17th term is 20 more than the 1...

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  19. If the 8th term of an A.P. is 31 and the 15th term is 16 more than ...

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  20. Write the first five terms of each of the following sequences whose n ...

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