Use Mathematical Induction to Prove the Given Statement for All $$\frac { 2 } { 3 } + \frac { 2 } { 9 } + \frac { 2 } { 27 } + \ldots + \frac { 2 } { 3 ^ { n } } = 1 - \left( \frac { 1 } { 3 } \right) ^ { n }$$

question 195

Short Answer

Use mathematical induction to prove the given statement for all positive integers n.
- $$\frac { 2 } { 3 } + \frac { 2 } { 9 } + \frac { 2 } { 27 } + \ldots + \frac { 2 } { 3 ^ { n } } = 1 - \left( \frac { 1 } { 3 } \right) ^ { n }$$

---

Definitions:

Accruals

Accounting method that records revenues and expenses when they are incurred, regardless of when cash transactions occur.

Unrecorded Expense

A cost or liability that has been incurred but not yet documented or included in the financial records or statements of a company.

Unrecorded Revenue

Earnings from completed transactions or delivered goods/services that have not yet been documented in the financial accounts.

GAAP

Generally Accepted Accounting Principles, which are a common set of accounting rules and standards used in the United States for financial reporting.