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# Arithmetic Series (Grades 11-12)

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## Arithmetic Series

1.
Determine the sum of the following Arithmetic series from the following information:

$"n" = 15, " a"_1 = 50," d" =-2$

2.
Given the first and last terms of a finite arithmetic series, what is the sum of this series?
$a_1 = 3, \ a_12 = 58$

3.
Find the sum of the series 6 + 10 + 14 + 18 + 22 + 26 + 30 + 34 + 38 + 42 + 46 + 50 + 54.

4.
What is the sum of the following series?
$1/2 + 3/4 + 1 + 5/4 + 3/2 + 7/4 + 2 + 9/4 + 5/2 + 11/4 + 3 + 13/4 + 7/2$

5.
What is the sum of the first 20 terms of the arithmetic series $1 + 4 + 7 + 10 + ... ?$

6.
Given the series 6 + 8 + 10 + 12 +... find the sum of the first 50 terms.

7.
What is the sum of the first 16 terms of the arithmetic series $5 + 15/2 + 10 + 25/2 + ... ?$

8.
What is the sum of the first 23 terms of the series $5 + 1 + (-3) + (-7) + ... ?$

9.
The sum of the first 15 terms of a certain arithmetic sequence is 1,395. If the 15th term is 184, what is the common difference?

10.
The sum of the first $n$ terms of the series $8 + 11 +14+ ...$ is $730$. Find $n$.

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