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The sum of three terms of an A.P. is 21 ...

The sum of three terms of an A.P. is 21 and the product of the first and the third terms exceeds the second term by 6, find three terms.

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. The sum of three numbers in A.P. is -3, and their product is 8. Find t...

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

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

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

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

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

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

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

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

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

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  11. Write the sequence with nth terms: (i)an=3+4n (ii) an=5+2n (iii)an=6-...

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

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

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

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

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

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

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

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

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  20. If the seventh term of an AP is 1/9 and its ninth term is 1/7, find it...

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