The General Term of a Sequence Is Given

question 12

Multiple Choice

The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.
-A pendulum bob swings through an arc 70 inches long on its first swing. Each swing thereafter, it swings only 80% as far as on the previous swing. What is the length of the arc after 8 swings? Round to two decimal places.

• A) 14.68 inches
• B) 11.74 inches
• C) 9.40 inches
• D) 392.00 inches

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Definitions:

Eustress

is a positive form of stress that can lead to improved performance, motivation, and overall well-being.

Self-Reinforcement

The process by which individuals reward themselves for achieving personal or professional goals, reinforcing positive behavior and outcomes.

Stressors

Denotes factors or conditions that cause stress, leading to a range of psychological and physiological responses in individuals.

Favorable Perceptions

Positive interpretations or views held by individuals about something or someone, often influenced by personal beliefs or experiences.