Question

identify the pattern for the following sequence. find the next three terms in the sequ\
-1, 3, -9, 27, __, , __,...\
a. multiply by 3; 81, 243, 729\
b. multiply by -3; -81, 243, -729\
c. multiply by -3; 81, 243, 729\
d. multiply by 3; -81, -243, -729\
\
please select the best answer from the choices provided\
\
○ a\
○ b\
○ c\
○ d

Explanation:

Step1: Identify the pattern

Check the ratio between consecutive terms. \( 3 \div (-1) = -3 \), \( -9 \div 3 = -3 \), \( 27 \div (-9) = -3 \). So the pattern is multiplying by \(-3\).

Step2: Find the next terms

First next term: \( 27 \times (-3) = -81 \)
Second next term: \( -81 \times (-3) = 243 \)
Third next term: \( 243 \times (-3) = -729 \)

Answer:

b. Multiply by -3; -81, 243, -729