Question

Write Explicit Formula for Sequence.... please help me in the most detailed way possible

Answer 1

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

`(-28)/(7)=(112)/(-28)=-4`

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

The explicit formula is ;

`T_n=ar^(n-1)`

Therefore, the explicit formula for this sequence is;

`T_N=7(-4)^(N-1)`