Table of contents
- 0. Review of Algebra(0)
- 1. Equations & Inequalities(0)
- 2. Graphs of Equations(0)
- 3. Functions(0)
- 4. Polynomial Functions(0)
- 5. Rational Functions(0)
- 6. Exponential & Logarithmic Functions(0)
- 7. Systems of Equations & Matrices(0)
- 8. Conic Sections(0)
- 9. Sequences, Series, & Induction(0)
- 10. Combinatorics & Probability(0)
9. Sequences, Series, & Induction
Geometric Sequences
9. Sequences, Series, & Induction
Geometric Sequences: Study with Video Lessons, Practice Problems & Examples
18PRACTICE PROBLEM
Evaluate the specified sum for the given geometric sequence.
![sum from k equals 0 to 7 of open parentheses 1 third close parentheses to the power of k plus 1 end exponent {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><munderover><mo>∑</mo><mrow><mi>k</mi><mo>=</mo><mn>0</mn></mrow><mn>7</mn></munderover><msup><mfenced><mfrac><mn>1</mn><mn>3</mn></mfrac></mfenced><mrow><mi>k</mi><mo>+</mo><mn>1</mn></mrow></msup></mstyle></math>","truncated":false}](https://lightcat-files.s3.amazonaws.com/problem_images/18dcf81321efb04a-1671851214183.jpg)
Evaluate the specified sum for the given geometric sequence.