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What is the sum of first n terms of the ...

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

A

`n^4a`

B

`n^3a`

C

`n^(2)a`

D

`na`

Text Solution

Verified by Experts

The correct Answer is:
C
Required sum ` = (n)/(2)[2a +(n-1) xx 2a] = n(na) = n^(2)a`.
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RS AGGARWAL-ARITHMETIC PROGRESSION-Exercise 5D
  1. How many three-digit numbers are divisible by 9?

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  2. If the sum of first m terms of an AP is (2m^(2) + 3m) then what is its...

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

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

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

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

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

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

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

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

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  11. Find the sum of first n natural numbers.

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

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

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

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

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

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

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

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

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

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