Definition of sequence in geometric progression

Main post link -> https://brilliant.org/assessment/s/algebra-and-number-theory/663850/

In this week's "Clever 4-term Sequences" (from level 3 of Algebra and Number Theory), is the sequence (1,4,2,8) valid or all terms have to be in the order of the progression like (1,2,4,8) or (8,4,2,1)?

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
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`\sum_{i=1}^3`	$\sum_{i=1}^3$
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`\boxed{123}`	$\boxed{123}$

Comments

no only sequences which are arranged in order of geometric progression must be taken into account

suresh muthuraman - 8 years, 3 months ago

(8,4,2,1) and (1,2,4,8) are distinct geometric progressions.

Parth Kohli - 8 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$