Find the nth term rule for −3,12,−48,192,...

unabuenanuevasld

unabuenanuevasld

Answered question

2022-11-06

Find the nth term rule for −3,12,−48,192,...

Answer & Explanation

Jaydon Roth

Jaydon Roth

Beginner2022-11-07Added 13 answers

Let us denote, by t n , the n t h term of the seq.
We find that, t 2 t 1 = - 4 , t 3 t 2 = - 4 , t 4 t 3 = - 4 , ...
We conclude that the given seq. is a Geometric Seq., with,
t 1 = - 3 , &, common ratio r=-4
The Formula for the General Term tn for a Geo. Seq. is,
t n = t 1 r n - 1 = - 3 ( - 4 ) n - 1 = 3 4 ( - 4 ) n

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