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The sum of the first n terms of an ...

The sum of the first `n` terms of an A.P. is `4n^2+2n` . Find the `n t h` term of this A.P.

A

`(6n-2)`

B

`(7n -3)`

C

`(8n -2)`

D

`(8n +2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`T_(n) = (S_(n) - S_(n-1)) = (4n^(2) +2n) - {4(n-1)^(2) + 2(n-1)}`
` = (4n^(2) +2n) - (4n^(2) - 6n +2) = (8n-2)`
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RS AGGARWAL-ARITHMETIC PROGRESSION-Multiple Choice Questions (Mcq)
  1. The sum of first n terms of an AP is (3n^(2) + 6n). The common differe...

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  2. The sum of first n terms of an AP is (5n - n^(2)). The nth term of the...

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  3. The sum of the first n terms of an A.P. is 4n^2+2n . Find the n ...

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  4. The 7th term of an AP is -1 and its 16th term is 17. The nth term of t...

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  5. The 5th term of an AP is -3 and its common difference is -4. The sum o...

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  6. The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 6...

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  7. The 13^(th) term of an AP is 4 times its 3^(rd) term. If its 5^(th) te...

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  8. An AP 5, 12, 19, … has 50 terms. Its last term is

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  9. The sum of first 20 odd natural numbers is

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  10. The sum of first 40 positive integers divisible by 6 is

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  11. How many two -digit numbers are divisible by 3?

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  12. How many three-digit numbers are divisible by 9?

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  13. What is the common difference of an AP in which a(18)-a(14) = 32?

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  14. If a(n) denotes the nth term of the AP 3, 18, 13, 18,… then what is th...

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  15. Which term of the AP 72, 63, 54, … is 0?

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  16. Which term of the AP 25, 20, 15,…. Is the first negative term?

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  17. Which term of the AP 21, 42, 63, 84,.. Is 210?

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  18. What is 20th term from the end of the AP 3, 8, 13, …, 253?

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  19. (5+13+21+…+181)=?

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  20. The sum of first 16 terms of the AP 10, 6, 2 … is

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