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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.

10, 11, 12, 13

Respuesta :

janmilczek

Answer:

[tex]9 + n[/tex]

Step-by-step explanation:

Well it's an arythmetic sequence, so it will look like:

[tex]a + d\cdot n[/tex]

Note that the first element is:

[tex]a + d\cdot 1[/tex]

and the second element is:

[tex]a + d \cdot 2[/tex]

So the difference between the two gives us d!

[tex]d = 11 - 10 = 1[/tex]

Now let's find the [tex]a[/tex]:

[tex]a + d\cdot 1 = 10\\a + 1 \cdot 1 = 10\\a + 1 = 10\\a = 9[/tex]

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