Evaluating arithmetic sequences 1

The  exercise appears under the Precalculus Math Mission. This exercise practices realizing the next number in a sequence.

Types of Problems
There is one type of problem in this exercise:


 * 1) Provide the next number: This problem has a sequence of a few numbers in arithmetical progression. The student is asked to find the next number in the sequence and write it in the space provided.Ariseq1-1.png

Strategies
Knowledge of formulas and patterns from arithmetic sequences are encouraged to ensure success on this exercise.
 * 1) The sequences are arithmetical, which means they are either adding or subtracting the same number to move from one term to the next.
 * 2) Although the problem asks for a specific term, for example fifth term, the answer is always the next term that would appear in the sequence. Therefore there is no need to read which term is being sought, just write the next term in the sequence of numbers.

Real-life Applications

 * 1) Sequences are series are fundamental to the calculus, which has many applications to real life.
 * 2) Sequences are common on IQ tests for measuring pattern recognition ability.
 * 3) Taylor Series can be used to approximate complicated functions via polynomials.