# Geometric Sequence?

The geometric sequence shown in the pyramid is 6, 36, 216, 1296, ¼.

Consider this geometric sequence and the 13th term. Is this pyramid scheme sustainable?

### 3 Answers

Relevance

- AmyLv 74 months ago
6^13 is about 13 billion.

If this is a "pyramid scheme" in the sense of convincing new people to join, the 13th term is where it exceeds the world's population.

- Iggy RockoLv 74 months ago
Assuming 1/4 should be 7776,

a_n = 6^n

a_13 = 6^13 = 13060694016

There is no limit to high numbers can go so the sequence is sustainable...assuming that's what you mean by "sustainable."

- billrussell42Lv 74 months ago
If that were a geometric sequence, the 5th term would be 7776, not ¼

shown in what pyramid ?

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