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Find the Partial Sum of the Geometric Sequence with the Given

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Find the partial sum of the geometric sequence with the given first term and common ratio.
- 9,a1=14,r=39 , a _ { 1 } = \frac { 1 } { 4 } , r = - 3


Definitions:

Separating Equilibrium

An outcome in a signaling game where different types of senders choose different signals, leading to a situation where the receiver can perfectly infer the sender's type based on the signal received.

Low-productivity Workers

Employees who produce less output than the average worker within a certain period.

Utility Function

Describes the relationship between the quantities of goods consumed and the level of satisfaction or utility derived from those goods by a consumer.

Consumption H

This term is unclear without additional context but could imply a specific form of consumption denoted by "H."

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