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here are the first five terms of an arithmetic sequence 1 3 5 7 9 find in terms of n an expression for the nth term of this sequence​

Respuesta :

Answer:

[tex]a_{n}[/tex] = 2n - 1

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = a₂ - a₁ = 3 - 1 = 2 , then

[tex]a_{n}[/tex] = 1 + 2(n - 1) = 1 + 2n - 2 = 2n - 1

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