Find the Solution of the Linear Homogeneous Recurrence Relation $$a _ { n } = 7 a _ { n - 1 } - 6 a _ { n - 2 } \text { with } a _ { 0 } = - 1 \text { and }$$

question 7

Essay

Find the solution of the linear homogeneous recurrence relation $$a _ { n } = 7 a _ { n - 1 } - 6 a _ { n - 2 } \text { with } a _ { 0 } = - 1 \text { and }$$ a1 = 4.

---

Definitions:

2-Methylpropane

An alkane with the chemical formula C4H10, also known as isobutane, characterized by a branched structure.

Conformers

Different spatial arrangements of atoms in a molecule that can be converted into one another by rotation around single bonds.

Butane

A gaseous hydrocarbon with the formula C4H10, existing in two isomeric forms and used as a fuel and a refrigerant.

Torsional Strain

A type of strain in molecules that occurs when atoms in a molecule are placed such that they cause repulsion by being in close proximity, often linked to bond angles and rotation around bonds.