Use the Principle of Mathematical Induction to Prove That $$5 \mid \left( 7 ^ { n } - 2 ^ { n } \right) \text { for all } n \geq 0$$

question 10

Short Answer

Use the Principle of Mathematical Induction to prove that $$5 \mid \left( 7 ^ { n } - 2 ^ { n } \right) \text { for all } n \geq 0$$

---

Definitions:

Inhibitory Transmitter

A type of neurotransmitter that decreases the likelihood of the neuron it binds to firing an action potential.

Arousal

A physiological and psychological state of being awake or reactive to stimuli, often related to motivation and alertness.

Postsynaptic Neuron

The postsynaptic neuron is the neuron that receives a signal (neurotransmitter) across a synapse from another neuron, essential for the transmission of electrical signals in the nervous system.

Synapse

The junction between two neurons where transmission of nerve impulses occurs through chemical messengers called neurotransmitters.