Find the next three terms of the sequence. –6, –24, –96, –384, . . .
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the terms:
–6, –24, –96, –384, . . .
Determine the next three terms.
Solution:
In order to determine the next 3 terms, we simply need to find first for the common ratio. This can be found by dividing the 2nd term with the first term.
Common Ratio = -24/-6
Common Ratio = 3
To find for the next 3 terms, we multiply the -384 by 3, and so on.
5th term
= (-384)(3)
= -1,152
6th term
= (-1,152)(3)
= -3,456
7th term
= (-3,456)(3)
= -10,368
FInal answer:
The next three terms are; -1,152 , -3,456, and - 10,368.