9. Sequences, Induction, and Probability

Write Terms of a Geometric Sequence

Geometric Sequences and Series

Geometric Sequences: A Formula for the' n - th ' Term , Part 1

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence. Find a(sub 7) when a(sub 1) = 2, r = 3

Write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for a(sub n) to find a(sub 8), the eighth term of the sequence. 1, 2, 4, 8, ...

Represent a geometric sequence as an explicit rule

Determining The Value of an Annuity

Write a geometric sequence recursively

Determine the Future Value of a Savings Annuity and Interest Earned (Monthly)

Evaluate the sum of a finite geometric series

A Quick Intro to Geometric Sequences

Sum of a Geometric Series

How to determine the sum of a infinite geometric series

In Exercises 31–34, write the first five terms of each geometric sequence. a1 = 1/2, r = 1/2

Annuities: Annuity Due, Finding Future Value

Sum of an Infinite Geometric Series, Ex 2

Sum of an Infinite Geometric Series, Ex 3

Finding The Sum of a Finite Geometric Series

Find the sum of each infinite geometric series. -6 + 4 - 8/3 + 16/9 - ...

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence. Find a(sub 6) when a(sub 1) = 16, r = 1/2

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence. Find a(sub 5) when a(sub 1) = -3, r = 2

Sequences, Factorials, and Summation Notation

Express each repeating decimal as a fraction in lowest terms. 0.6 (repeating 6)

Sum of an Infinite Geometric Series, Ex 1

In Exercises 31–34, write the first five terms of each geometric sequence. a1 = 3, r = 2

Finding the Sum of an Infinite Geometric Series

How to find the finite sum of a geometric sequence

Use the formula for the sum of the first n terms of a geometric sequence to find the indicated sum. *sigma notation* i=1 start, 6 end, 5^i formula

Find the sum of the first 15 terms of the geometric sequence: 5, -15, 45, -135

Annuities: Annuity Due, Ex 2

Sum of Infinite Geometric Series

Find the sum of each infinite geometric series. 2 - 1 + 1/2 - 1/4 + ...

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Find the Common Difference for an Arithmetic Sequence

Write Terms of an Arithmetic Sequence

Use the Formula for the General Term of an Arithmetic Sequence

Use the Formula for the Sum of the First <i>n</i> Terms of an Arithmetic Sequence

Arithmetic Sequences

Compute Empirical Probability

Compute Theoretical Probability

Find the Probability that an Event will Not Occur

Find the Probability of One Event or a Second Event Occurring

Find the Probability of One Event and a Second Event Occurring

Probability

Evaluate a Binomial Coefficient

Expand a Binomial Raised to a Power

The Binomial Theorem

Use the Fundamental Counting Principle

Distinguish Between Permutation and Combination Problems

Use the Permutations Formula

Counting Principles, Permutations, and Combinations

Find Particular Terms of a Sequence from the General Term

Use Recursion Formulas

Use Factorial Notation

Use Summation Notation

Sequences and Summation Notation

Understand the Principle of Mathematical Induction

Prove Statements Using Mathematical Induction

Mathematical Induction

Find the Common Ratio of a Geometric Sequence

Use the Formula for the General Term of a Geometric Sequence

Use the Formula for the Sum of the First <i>n</i> Terms of a Geometric Sequence

Find the Value of an Annuity

Use the Formula for the Sum of an Infinite Geometric Series

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