Question

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

Answer 1

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

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.

`a_1=5,a_2=2,a_3=-1,a_4=-4`

`a_2-a_1=2-5=-3`

`a_3-a_2=-1-2=-3`

`a_4-a_3=-4-(-1)=-3`

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.

`a_5=a_4-3=-4-3=-7`

`a_6=a_5-3=-7-3=-10`

`a_7=a_6-3=-10-3=-13`

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

Answer 2

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.