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The sum of three numbers in A.P. is -3, ...

The sum of three numbers in A.P. is `-3,` and their product is 8. Find the numbers.

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To solve the problem, we need to find three numbers in Arithmetic Progression (A.P.) such that their sum is -3 and their product is 8. ### Step-by-Step Solution: 1. **Define the terms in A.P.**: Let the three numbers in A.P. be: - First term: \( A - D \) - Second term: \( A \) ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Which term of the A.P. 3,15,27, 39, ... will be 120 more than its 21st...

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  2. The 17th term of an A.P. is 5 more than twice its 8th term. If the ...

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  3. The sum of three numbers in A.P. is -3, and their product is 8. Find t...

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  4. Find the four numbers in A.P. whose sum is 20 and the sum of whose ...

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  5. The sum of three terms of an A.P. is 21 and the product of the first ...

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  6. The angles of a quadrilateral are in A.P. whose common difference is 1...

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  7. Consider the A.P. 2,5,8, 11 ,........ ,302. Show that twice of the mi...

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  8. For what value of n the n^(t h) terms of the following two A.Ps the s...

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  9. How many terms are there in the sequence 3,6,9, 12 , 111 ?

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  10. Find the middle term of the A.P. 6, 13 , 20 , ...... 216.

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  11. Show that the sequence 9,12,15,18,... is an A.P. Find its 16th term...

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  12. Which term of the sequence -1,3,7, 11 , 95 ?

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  13. Write the sequence with nth terms: an=3+4n (ii) an=5+2n an=6-n (iv) a...

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  14. Then n^(t h) term of an A.P. is 6n+2. Find the common difference.

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  15. Show that the sequence defined by an=5n-7 is an A.P., find its common...

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  16. Show that the sequence defined by an=3n^2-5 is not an A.P.

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  17. Find the 10th term from the end of the A.P. 8,10,12, ... 126.

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  18. The 19th term of an A.P. is equal to three times its 9th term.If its...

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  19. If the 5th term of an A.P. is 31 and 25th term is 140 more than the...

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  20. The first and last term of an A.P. are a and l respectively. If S is...

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