### 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 Problems (14)

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

Sum:

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