Mathematics

The sum of first n terms of an A.P. is (4n2 + 2n). The nth term of the A.P. is :

  1. (6n − 2)

  2. (8n − 2)

  3. (6n + 2)

  4. (8n + 2)

AP

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Answer

We know that,

Sn = 4n2 + 2n

Tn = Sn - Sn - 1

= 4n2 + 2n - [4(n - 1)2 + 2(n - 1)]

= 4n2 + 2n - [4(n2 - 2n + 1) + 2n - 2]

= 4n2 + 2n - [4n2 - 8n + 4 + 2n - 2]

= 4n2 + 2n -[4n2 - 6n + 2]

= 4n2 + 2n - 4n2 + 6n - 2

= 8n - 2.

Hence, option 2 is the correct option.

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