Geometric Series - Concept

Concept Concept (1)

In Algebra, sometimes we have functions that vary in more than one element. When this happens, we say that the functions have joint variation or combined variation. Joint variation is direct variation to more than one variable (for example, d = (r)(t)). With combined variation, we have both direct variation and indirect variation.

Sample Sample Problems (14)

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Geometric Series - Problem 1
1 + 1 + 3 + ...
6 2 2
Find S7
Problem 1
How to find the sum of a finite geometric series.
Geometric Series - Problem 2

Sum:

5 + -15 + 45 + ...
4 16
Problem 2
How to find the sum of an infinite geometric series.
Geometric Series - Problem 3
7
∑ 8(½)n
i = 2
Problem 3
How to evaluate a summation notation that yields a geometric series.
Geometric Series - Problem 4
Problem 4
Geometric series to model repeated investment in an account with known interest.
Geometric Series - Problem 5
Problem 5
Introduction to infinite geometric sums, including the ideas of convergence and divergence.
Geometric Series - Problem 6
Problem 6
Using an infinite geometric series to find a swing or pendulum's theoretical total distance.
Geometric Series - Problem 7
Problem 7
Addressing notation and vocabulary of geometric sequences and series.
Geometric Series - Problem 8
Problem 8
Using a geometric series to find the total theoretical distance traveled by a bouncing ball.
Geometric Series - Problem 9
Problem 9
How to use Sigma notation to evaluate a finite geometric series.
Geometric Series - Problem 10
Problem 10
Finding the term number, n, for a known sum in a geometric series.
Geometric Series - Problem 11
Problem 11
How to write a decimal that has one digit repeating infinitely as a fraction.
Geometric Series - Problem 12
Problem 12
Finding infinite geometric sums from sigma notation.
Geometric Series - Problem 13
Problem 13
Finding a finite sum of a geometric sequence written as a list of numbers.
Geometric Series - Problem 14
Problem 14
Clarity on notation and formulas of geometric sequences and series.