Find the Sum of the Infinite Geometric Series $a + a x ^ { 2 } + a x ^ { 4 } + a x ^ { 6 } + \ldots$

question 61

Essay

Find the sum of the infinite geometric series. $a + a x ^ { 2 } + a x ^ { 4 } + a x ^ { 6 } + \ldots$

---

Definitions:

US

Stands for "Unconditioned Stimulus," a stimulus that naturally and automatically triggers a response without prior conditioning in the context of psychology.

Effective Conditioning

A learning process in which a response becomes more frequent or predictable in a given environment due to reinforcement.

CS Precedes US

In classical conditioning, the conditioned stimulus (CS) is presented before the unconditioned stimulus (US) to establish a conditioned response.

0.5 Seconds

A time measurement equal to half a second, often used in various scientific and contextual scenarios to describe very short durations.