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Identify the pattern for the following sequence. Find the next three terms in the sequence. 5, 2, -1, -4, ____, ____, ____,... a. Subtract 3; -7, -10, -13 b. Add 3; -7, -10, -13 c. Subtract -3; 7, 10, 13 d. Add 3; 1, 4, 7 Please select the best answer from the choices provided

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carlosego
The correct answer for the completion exercise shown above is the first option (Option a), which is:

 a. Subtract 3; -7, -10, -13

 The explanation is shown below:

 1. You have the following sequence  5, 2, -1, -4

 2. The first second number is the result of a substraction:

 5-3=2

 3. Then you have:

 2-3=-1
 -1-3=-4
 -4-3=-7
 -7-3=-10
 -10-3=-13

 Therefore, the answer is the optiones mentioned before.
lublana

Answer:

A.Subtract 3:-7,-10,-13

Step-by-step explanation:

We are given that a sequence

5,2,-1,-4,...

We have to identify  the pattern of the givens sequence and next three terms.

[tex]a_1=5,a_2=2,a_3=-1,a_4=-4[/tex]

[tex]a_2-a_1=2-5=-3[/tex]

[tex]a_3-a_2=-1-2=-3[/tex]

[tex]a_4-a_3=-4-(-1)=-3[/tex]

The difference between two consecutive terms are equal.When the difference between two consecutive terms are equal then the sequence is called arithmetic sequence.Hence, the sequence is arithmetic sequence.

[tex]a_5=a_4-3=-4-3=-7[/tex]

[tex]a_6=a_5-3=-7-3=-10[/tex]

[tex]a_7=a_6-3=-10-3=-13[/tex]

Answer:A.Subtract 3:-7,-10,-13