Answer :

ilovecats8686

Answer:

41

Step-by-step explanation:

You are going up by 4 for every term. So, for the 13th term, you're going up by 4*13= 52.

However, -7 is a term itself. -7 is the 1st term. If you added 52 to -7, that would be the 14th term! So, we will subtract 4 when we add 52 to -7.

-7+52=45

45-4=41

The answer is 41!

Hope this helps!

xKelvin

Answer:

D

Step-by-step explanation:

So first, we can see that this is an arithmetic sequence since each subsequent value is 4 greater than the previous one.

To find the value of the 13th term, we can construct an explicit formula for the sequence. Recall that an explicit formula of an arithmetic sequence has the following format:

[tex]x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

So, we already know that a is -7 the initial term. And also, every term is +4 than the previous one. Thus, the common difference is 4.

Plugging in all into the equation, we have:

[tex]x_n=-7+4(d-1)[/tex]

So, to find the 13th term, use 13 for n:

[tex]x_{13}=-7+4(13-1)\\x_{13}=-7+4(12)[/tex]

Simplify:

[tex]x_{13}=-7+48\\x_{13}=41[/tex]

So, the 13th term is 41.

The answer is D.

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