Concept (1)

We often use the term direct variation to describe a form of dependence of one variable on another. An equation that makes a line and crosses the origin is a form of direct variation, where the magnitude of x increases or decreases directly as y increases or decreases. Direct variation and inverse variation are used often in science when modeling activity, such as speed or velocity.

Sample Problems (12)

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3 + 7 + 11 + 15 + ...
Problem 1
How to find the sum of the first n terms of an arithmetic series when given the first few terms.
 -3 + -3 + 0 + ... 30 2
Problem 2
How to find the sum of an arithmetic series when given the first few terms and last term.
 20 ∑(1 − 2i) i = 0
Problem 3
How to evaluate a summation notation that yields an arithmetic series.

How many terms in 5 + 7 + 9 + ... must be added to make 572.

Problem 4
How to find the number terms in an arithmetic series to add up to a specific sum.
Problem 5
Solving for the first term of an arithmetic series from a known sum.
Problem 6
Finding how many rows are in an arithmetic collection if you know the total number of objects in the collection.
Problem 8
How many total cans (or objects) in a stacked display?
Problem 9
Solving for the last term of an arithmetic series from a known sum and known first term.
Problem 10
Using an arithmetic series to find the total number of seats in a theater.
Problem 11
Evaluating an arithmetic series from sigma notation when the difference is fractional.
Problem 12
Finding a term in an arithmetic sequence and an arithmetic sum where the terms are irrational.
Problem 13
Using the formula to calculate arithmetic series from the first and last term being added.