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The $n^{th}$ term of a sequence is 2n + 1, then the first term and common difference respectively are

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3,2

2,3

1,2

2,1

answer is A.

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Detailed Solution

Given that the

n^{th}

term of a sequence is 2n + 1.
We know,
The common difference can be calculated by using the formula

d = a n − a n − 1

Substitute 1 for n in the equation 2n+1,we get 1st term,

21 + 1 ⇒ 2 + 1 ⇒ 3

Substitute 2 for n in the equation 2n+1,we get 2nd term,

22 + 1 ⇒ 4 + 1 ⇒ 5

The common difference will be,

d = 5 − 3 ⇒ d = 2

First-term is 3 and the common difference is 2.
Therefore, option 1 is correct.

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