Solve the Recurrence Relation Either by Using the Characteristic Equation $$a _ { n } = a _ { n - 1 } + 3 n , \quad a _ { 0 } = 5$$

question 3

Short Answer

solve the recurrence relation either by using the characteristic equation or by discovering a pattern formed by the terms.
- $$a _ { n } = a _ { n - 1 } + 3 n , \quad a _ { 0 } = 5$$

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Definitions:

Circannual Rhythm

Biological processes that occur on an annual or yearly cycle.

Rhythmical Movement

Repetitive, patterned physical motion, which can be involuntary, such as breathing, or intentional, such as dancing.

Plant Leaves

The photosynthetic organs of plants, usually green, where sunlight is absorbed and converted into energy for growth and metabolism.

Temperature Changes

Variations in the degree of heat present in an environment, which can affect the state or behavior of organisms and matter.