Respuesta :

Answer:

so the answer is 31

Step-by-step explanation:

well first you have to see how much it increases each time

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so that would be three

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so

7_10_13_16_19_22_25_28_31

1    2   3    4   5    6     7     8    9

Answer:

[tex]a_{n}[/tex] = 3n + 4

Step-by-step explanation:

The terms of the sequence form an arithmetic sequence with n th term

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

where a is the first term and d the common difference

d = 10 - 7 = 13 - 10 = 3 and a = 7, hence

[tex]a_{n}[/tex] = 7 + 3(n - 1) ← distribute and simplify

                        = 7 + 3n - 3 , hence

[tex]a_{n}[/tex] = 3n + 4

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