Respuesta :

The terms in the sequence are;

[tex]3,1,-1,-3,-5[/tex]

The first term is 3

The common difference is -2.

To determine the nth term of the Arithmetic Sequence (AP), we shall apply the formula;

[tex]\begin{gathered} Nth=a+(n-1)d \\ n_{14}=3+(14-1)\times-2 \\ n_{14}=3+(13)\times-2 \\ n_{14}=3+(-26) \\ n_{14}=3-26 \\ n_{14}=-23 \end{gathered}[/tex]

Therefore the 14th term (n14) is -23

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