What is the nth term of the arithmetic sequence 1,3,5,7,9,11...?

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What is the nth term of the arithmetic sequence $1, 3, 5, 7, 9, 11 . . . ?$

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n + 1

n - 1

2 n + 1

2 n - 1

answer is D.

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Detailed Solution

The given AP is

1, 3, 5, 7, 9 . . . . .

.
From the AP, we get that,
a = 1 and d = 2.
We know that

n^{th}

term of an AP is given as,

t_{n} = a + (n - 1) d

. So, we get

a_{n} = 1 + (n - 1) 2

\Rightarrow a_{n} = 1 + 2 n - 2

\Rightarrow a_{n} = 2 n - 1

Therefore, the general term of the AP is 2n – 1.
Hence, the correct option is 4.

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