Find explicit formulas for arithmetic sequences

The  exercise appears under the Algebra I Math Mission and Precalculus Math Mission. This exercise practices find an explicit formula for arithmetic sequences

Types of Problems
There are two types of problems in this exercise:


 * 1) Determine who wrote the right formula: This problem provides two explicit formulas for an arithmetic sequence. Students are expected to determine which of the formulas are correct based on the given information. Both, one, or none of the formulas may be correct.Find explicit formulas for arithmetic sequences.PNG
 * 2) Find the explicit formula: This problem provides an arithmetic sequence given in some form like a table or by listing terms. The student is asked to write a correct explicit formula in the space provided.Find explicit formulas for arithmetic sequences2.PNG

Strategies
Knowledge of the arithmetic sequence and series formulas are encouraged to ensure success on this exercise.
 * 1) The $$n\text{th}$$ term of an arithmetic sequence is given by $$a_n=a_1+(n-1)d$$.
 * 2) In an arithmetic sequence, the difference between successive terms is constant. This means that we can move from any term to the next one by adding a constant value.
 * 3) The formula does not need to be distributed or simplified on this exercise to be considered correct.

Real-life Applications

 * 1) Sequences and series are common problem on IQ tests.
 * 2) Sequences and series are a large portion of second semester (BC) calculus.