a.
To write two explicit formulas for arithmetic sequences.
The two explicit formulas for sequences are
Consider the sequences
The nth term of
Therefore, the two explicit formulas for sequences are
b.
To write the first five terms of each related series.
The first sequence is
The first five terms of the related series for the sequence
Similarly, the first five terms of the related series of the sequence
c.
To rewrite the series using summation notation.
The series with summation notations are
The two series from part (b) are
The nth term of
The nth term of
d.
To evaluate each series.
The two series are
Now, evaluate the series
Now, evaluate the series
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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