Find the Indicated Sum $$\sum _ { i = 1 } ^ { 3 } \left( \frac { 2 } { 3 } \right) ^ { i + 1 }$$

question 152

Multiple Choice

Find the indicated sum. Use the formula for the sum of the first n terms of a geometric sequence.
- $$\sum _ { i = 1 } ^ { 3 } \left( \frac { 2 } { 3 } \right) ^ { i + 1 }$$

• A) \(\frac { 76 } { 81 }\)
• B) \(\frac { 38 } { 27 }\)
• C) \(\frac { 80 } { 81 }\)
• D) \(\frac { 520 } { 81 }\)

---

Definitions:

Abbreviation

A shortened form of a word or phrase used to save space or time, common in various fields including medicine and communication.

QID

An abbreviation in medical prescriptions indicating medication should be taken four times a day.

Legibly

In a manner that is clear enough to read; the quality of being easily readable by others.

Strength

The capacity of an object or individual to withstand great force or pressure, often measured in terms of physical power or durability.