Write a rule for the nth term of the geometric sequence. Then find a7.

1. 7, -4.2, 2.52, -1.512, ...

2 answers

7, -4.2, 2.52, -1.512, ...
Divide successive terms,
-4.2/7=-0.6
2.52/-4.2=-0.6
-1.512/2.52=-0.6
So the common ratio is r=-3/5
T(1)=7
T(n)=7r^n
T(7)=7(-3/5)^7
=-15309/78125
=-0.196 approx.
how do you
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