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Choose two of the following choices that can represent the nth term of the sequence: 4, 7, 10, 13, ...

a_n=4n+3, n≥1

a_n=3n+4, n≥1

a_n=4+(n-1)*3, n≥1

a_n=3n+1, n≥1

a_n=3+(n-1)*4, n≥1

Respuesta :

bayosanuade

Answer: [tex]t_{n}[/tex] = 3n + 1 ,       n≥ 1

Step-by-step explanation:

The common difference of the sequence = 3 , so it is an arithmetic sequence.

The formula for the nth term of an arithmetic sequence is given as:

[tex]t_{n}[/tex] = a + (n-1)d

substituting the values of a and d , we have

[tex]t_{n}[/tex] = 4 + (n-1) X 3

[tex]t_{n}[/tex] = 4 + 3n - 3

[tex]t_{n}[/tex] = 1 + 3n

[tex]t_{n}[/tex] = 3n + 1 ,       n≥ 1

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