Question

identify the pattern for the following sequence. find the next three term
-15, -11, -7, -3, ___, _, ___,…
a. subtract 4; -7, -11, -15
b. add 4; 2, 6, 10
c. subtract 4; 1, 5, 9
d. add 4; 1, 5, 9
please select the best answer from the choices provided
○ a
○ b
○ c
○ d

Explanation:

Step1: Identify the pattern

Calculate the difference between consecutive terms: \(-11 - (-15) = 4\), \(-7 - (-11) = 4\), \(-3 - (-7) = 4\). So the pattern is adding 4.

Step2: Find the next terms

Start with the last given term \(-3\).
First next term: \(-3 + 4 = 1\)
Second next term: \(1 + 4 = 5\)
Third next term: \(5 + 4 = 9\)
So the pattern is "Add 4" and the next three terms are 1, 5, 9.

Answer:

d. Add 4; 1, 5, 9