Test the Series for Convergence or Divergence $$\sum _ { m = 1 } ^ { \infty } \frac { ( - 6 ) ^ { m + 1 } } { 4 ^ { 8 m } }$$

question 65

Short Answer

Test the series for convergence or divergence.
$$\sum _ { m = 1 } ^ { \infty } \frac { ( - 6 ) ^ { m + 1 } } { 4 ^ { 8 m } }$$

---

Definitions:

Atomic Singular Statement

Refers to a type of statement that explicitly refers to a singular object, action, or event without combining other elements or propositions.

Truth-Functional Compound

In logic, a statement which is formed by combining simpler statements and whose truth is determined entirely by the truth values of these simpler statements.

Quantifier

A symbol or phrase in formal logic used to specify the quantity of specimens in the domain of discourse that satisfy an open formula.

Open Sentences

Statements in mathematics containing one or more variables, whose truth or falsity can vary depending on the values of these variables.