Find the First Five Terms of the Sequence $a _ { n } = 3 \left( a _ { n - 1 } + 1 \right)$

question 56

Multiple Choice

Find the first five terms of the sequence $a _ { n } = 3 \left( a _ { n - 1 } + 1 \right)$ , where $a _ { 1 } = 1$

• A) \(a _ { 1 } = 1\), \(a _ { 2 } = 6\), \(a _ { 3 } = 21\), \(a _ { 4 } = 66\), \(a _ { 3 } = 201\)
• B) \(a _ { 1 } = 3\), \(a _ { 2 } = 9\), \(a _ { 3 } = 27\), \(a _ { 4 } = 69\), \(a _ { 3 } = 226\)
• C) \(a _ { 1 } = 3\), \(a _ { 2 } = 12\), \(a _ { 3 } = 15\), \(a _ { 4 } = 18\), \(a _ { 3 } = 21\)
• D) \(a _ { 1 } = 1\), \(a _ { 2 } = 7\), \(a _ { 3 } = 22\), \(a _ { 4 } = 67\), \(a _ { 3 } = 202\)
• E) none of these

---

Definitions:

Threshold of Excitation

The minimum level of stimulus intensity required to activate a neuron and generate an action potential.

Electric Current

The flow of electric charge through a conductor.

Absolute Refractory

A period immediately following the transmission of an impulse in nerve or muscle in which a neuron or muscle cell cannot respond to any additional stimulus.

Period

Often refers to a length or span of time in a sequence of events or a specified interval in processes or phenomena.