Answer:
let 'a' be the first term, 'd' be the common difference between all the terms of the sequence
Step-by-step explanation:
therefore, a = 3,
and, d = -9 -3
= -12
hence the 14th term would be,
=> a + 13d
=> 3 + 13( -12 )
=> 3 - 156
=> - 153
Answer:
Step-by-step explanation:
The pattern can be seen as just multiplying the current number by -3 and repeating for each succeeding number. By that logic, we can just conventionally keep multiplying -3 until we reach the 14th term. In this case, we get the order
[tex]3, -9, 27, -81, 243, -729, 2187, -6561, 19683, -59049, 177147, -531441, 1594323,[/tex] and lastly [tex]-4782969[/tex] which is our 14th term.
We can also realize that the 14th term can be found as the 14th power of -3, which also results in [tex]-4782969[/tex].
