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) \(\frac { 520 } { 81 }\)

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