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(Common Ratio 'r') | Example 1A: Is the Sequence Geometric? (120, -60, 30...) | Example 1B: Is the Sequence Geometric? (Fractions) | Notation: a_n (Value of nth term) vs. n (Term Number) | Explicit Rule Formula for Geometric Sequences: a_n = a_1 * r^(n-1) | Example 2: Writing an Explicit Rule and Finding the 7th Term | Recursive Formula for Geometric Sequences: a_n = a_(n-1) * r | Example 3: Writing the First Five Terms from a Recursive Rule | Example 4: Writing an Explicit Rule and Finding the 6th Term (with Radicals) | Working with Rational Exponents for Radicals | Example 5: Finding a Rule and the 8th Term Given Two Terms | Setting Up a System of Equations to Solve for a_1 and r | Solving for 'r' (Remember Plus or Minus for Even Roots!) | Solving for a_1 and Writing the Two Possible Rules | Calculating the 8th Term (a_8) | Sum of a Finite Geometric Series Formula: S_n = a_1 * (1 - r^n) / (1 - r) | Example 6: Finding the Sum of a Finite Geometric Series (Sigma Notation) | Example 7: Using Summation Notation to Write the Sum of a Series | Using Logarithms to Find the Number of Terms (n) | Sum of an Infinite Geometric Series Formula: S = a_1 / (1 - r) | Condition for Convergence | Example 8: Infinite Geometric Series (Divergent - No Sum) | Example 9: Infinite Geometric Series (Convergent - Finding the Sum) | Algebra 1 \u0026 Algebra 2 Video Courses Mention | Example 10: Finding a Rational Number for a Repeating Decimal (0.12 repeating) | Treating Repeating Decimals as Infinite Geometric Series"}]},"collapsedThumbnail":{"thumbnails":[{"url":"https://www.youtube.com/watch?v=0AHH2ixJMcw" frameborder="0" allowfullscreen title="4 months ago (c) by youtube.com" style="float:{#vleft left|#vleft left|#vleft left|#vleft left|#vright right};padding:{#vright 10px 0px 10px 10px|#vleft 10px 10px 10px 0px};border:0px;"></iframe>Tutor Qualifications ɑnd Experience: Thіs is vital. 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