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Find the four numbers in A.P. whose sum ...

Find the four numbers in A.P. whose sum is 20 and the sum of whose squares is 120.

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To find the four numbers in Arithmetic Progression (A.P.) whose sum is 20 and the sum of whose squares is 120, we can follow these steps: ### Step 1: Define the terms of A.P. Let the four numbers in A.P. be: - \( a - 3d \) - \( a - d \) - \( a + d \) - \( a + 3d \) ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. The 17th term of an A.P. is 5 more than twice its 8th term. If the ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Find the number of all three digit natural numbers which are divisible...

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