Arithmetic series.

1. The Story of Young Gauss ...
really this time ...
Photo Source: Karl
Gauss (1777–1855)

3. Series: The sum of numbers in a sequence to a particular term in a
sequence.
Example: denotes the sum of the first 5 terms.
denotes the sum of the first n terms.
Artithmetic Series: The sum of numbers in an arithmetic sequence
given by
is the sum to the nth term
n is the quot;rankquot; of the nth term
a is the first term in the sequence
d is the common difference

4. Find the sum of the first 6 terms of each series:
5 + 8 + 11 + ...

5. Find the sum of the first 6 terms of each series:
-6 - 8 - 10 - ...

6. Find the sum of the first 60 terms of each series:
5 + 8 + 11 + ...
-6 - 8 - 10 - ...

7. Find the sum of the arithmetic series ...
5 + 9 + 13 + ... + 201
-8 - 5 - 2 + ... + 139

8. Find the number of terms in each of the following arithmetic sequences.
-2, -8, -14, ..., -206 x + 2, x + 9, x + 16, ... , x + 303

9. Complete each arithmetic sequence by finding the missing arithmetic
means.
1, ____, 25 14, ____, ____, 32

10. Complete each arithmetic sequence by finding the missing arithmetic
means.
-1.5, ____, ____, ____, 4.5 -3, ____, ____, -60

11. What is the domain and range of each relation?
(f) y
4
2 x
-3

12. Identify all the intercepts for each relation?
(f) y
4
2 x
-3

13. Complete each arithmetic sequence by finding the missing arithmetic
means.
2, ____, ____, ____, ____, 107 m + 40, ____, ____, ____, m + 4