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
14PRACTICE PROBLEM
For the given infinite series, evaluate the sum.
![sum from j equals 1 to infinity of 6 left parenthesis negative 0.4 right parenthesis to the power of j minus 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>j</mi><mo>=</mo><mn>1</mn></mrow><mo>∞</mo></munderover><mn>6</mn><msup><mrow><mo>(</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>4</mn><mo>)</mo></mrow><mrow><mi>j</mi><mo>-</mo><mn>1</mn></mrow></msup></mstyle></math>","truncated":false}](https://lightcat-files.s3.amazonaws.com/problem_images/6d1f769b25a2406b-1671477618414.jpg)
For the given infinite series, evaluate the sum.