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Crazy boy [7]
3 years ago
11

Consider the sequence 3, -9, 27, -81, .. Find the 14th term of the sequence.

Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0

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

earnstyle [38]3 years ago
5 0

Answer:

<h2>-4782969</h2>

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

3, -9, 27, -81, 243, -729, 2187, -6561, 19683, -59049, 177147, -531441, 1594323, and lastly -4782969 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 -4782969.

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