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Find an AP whose 4th term is 9 and the s...

Find an AP whose 4th term is 9 and the sum of its 6th and 13th terms is 40.

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The correct Answer is:
3, 5, 7, 9, 11,…
`T_(4) = 9 rArr a +3d = 9`
`rArr T_(6) + T_(13) = 40 rArr (a+5d) +(a+12d) = 40 rArr 2a +17d = 40`
From (i) and (ii), we get a= 3 and d = 2.
`therefore AP is 3, 5, 7, 9, 11,…
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RS AGGARWAL-ARITHMETIC PROGRESSION-Exercise 5D
  1. If the sum of first m terms of an AP is (2m^(2) + 3m) then what is its...

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  2. What is the sum of first n terms of the AP a, 3a, 5a,….

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  3. What is the 5th term from the end of the AP 2, 7, 12, …, 47?

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  4. If a(n) denotes the nth term of the AP 2, 7, 12, 17,…., find the value...

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  5. The nth term of an AP is (3n +5). Find its common difference.

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  6. The nth term of an AP is (7-4n). Find its common difference.

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  7. Write the next of the AP sqrt(8), sqrt(18), sqrt(32),…

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  8. Write the next of the AP sqrt(2), sqrt(8), sqrt(18),…

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  9. Which term of the AP 21, 18, 15,… is zero?

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  10. Find the sum of first n natural numbers.

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  11. Find the sum of first n even natural numbers.

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  12. The first term of an AP is p and its common difference is q. Find its ...

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  13. If (4)/(5), a, 2 are in AP, find the value of a.

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  14. If (2p +1), 13, (5p-3) are in AP, find the value of p.

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  15. If (2p-1), 7, 3p are in AP, find the value of p.

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  16. If the sum of first p terms of an AP is (ap^(2) +bp), find its common ...

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  17. If the sum of first n terms is (3n^(2) +5n), find its common differenc...

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  18. Find an AP whose 4th term is 9 and the sum of its 6th and 13th terms i...

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  19. What is the common difference of an AP in which a(27) -a(7) = 80?

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  20. If 1+4+7+10+…+x = 287, find the value of x.

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