Respuesta :

We want to write an explicit formula of the sequence 7, -28 , 112.

[tex]\frac{-28}{7}=\frac{112}{-28}=-4[/tex]

This is a geometric progression, the first term is 7 and the common ratio is;

The explicit formula is ;

[tex]T_n=ar^{n-1}[/tex]

Therefore, the explicit formula for this sequence is;

[tex]T_N=7(-4)^{N-1}[/tex]