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12345 [234]
3 years ago
7

determine if the sequence is geometric or arithmetic and find the ratio or difference. -1, 6, -36, 216

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0
The sequence is an geometric progression;
Nth=a₁r^(n-1)
a₁ is the first term=-1
r=ratio=a₂/a₁=6/-1=-6

Nth=-1(-6^(n-1)

NTh=an

a
₁=-1(-6⁰)=-1
a₂=-1(-6¹)=6
a₃=-1(-6²)=-36
a₄=-1(-6³)=216

therefore this serie is rising at an increasing fast speed, it is an geometric progression.


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