Identify the rule relating each term in the following sequence: -4, 16, -64, 256, -1024, 4096, -16,384 I need help with answering this problem.
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
-4, 16, -64, 256, -1024, 4096, -16,384
Identifiy the rule.
Solution:
In order to identify the rule of the given geometric sequence, we must first determine the common ration, which can be found by dividing the second term with the first term.
Common Ratio= 2nd term / 1st term
Common Ratio = 16/ -4
Common Ratio = -2
Formula for Geometric Sequence:
An = A1 ( r )^(n-1)
Substitute the given value of a1 and r to the formula in order to identify the rule.
An = -4 ( -2)^(n-1)
Final answer:
An = -4 ( -2)^(n-1)