Determine Whether the Statement Is True or False

question 5

Essay

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
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If a₁, a₂, a₃, ..., an and b₁, b₂, b₃, ..., bn are arithmetic progressions, then a₁ +b₁, a₂ +b₂, a₃ +b₃, ..., an + bn is also an arithmetic progression.

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Definitions:

Very Relaxed Muscles

A state of low tension in muscle fibers, often achieved through relaxation techniques, leading to reduced physical stress and strain.

Sleep Patterns

The natural cycle of various stages of sleep including REM and non-REM stages that repeats throughout the night.

Genetically Influenced

Traits or conditions that are shaped in part by genes inherited from one's parents.

Rapid Eye Movements

Quick, simultaneous movements of both eyes in the same direction, often associated with the REM phase of sleep where dreaming occurs.