# Arithmetic Series (Grades 11-12)

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## Arithmetic Series

1.

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

[math] "n" = 15, " a"_1 = 50," d" =-2 [/math]

[math] "n" = 15, " a"_1 = 50," d" =-2 [/math]

2.

Given the first and last terms of a finite arithmetic series, what is the sum of this series?

[math]a_1 = 3, \ a_12 = 58[/math]

[math]a_1 = 3, \ a_12 = 58[/math]

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?

[math] 1/2 + 3/4 + 1 + 5/4 + 3/2 + 7/4 + 2 + 9/4 + 5/2 + 11/4 + 3 + 13/4 + 7/2[/math]

[math] 1/2 + 3/4 + 1 + 5/4 + 3/2 + 7/4 + 2 + 9/4 + 5/2 + 11/4 + 3 + 13/4 + 7/2[/math]

5.

What is the sum of the first 20 terms of the arithmetic series [math]1 + 4 + 7 + 10 + ... ?[/math]

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 [math]5 + 15/2 + 10 + 25/2 + ... ?[/math]

8.

What is the sum of the first 23 terms of the series [math]5 + 1 + (-3) + (-7) + ... ?[/math]

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 [math]n[/math] terms of the series [math]8 + 11 +14+ ...[/math] is [math]730[/math]. Find [math]n[/math].

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