950
–
= –50
1000
900 – 950 = –50
9-5 Solving Quadratic Equations by Using the Quadratic Formula
There is a common difference of –50 between the terms. The sequence is arithmetic.
74. 200, 350, 650, …
SOLUTION:
Check the difference and ratio between terms.
– 200 = 150
350
650 – 350 = 200
There is no common difference between the terms.
There is no common ratio. This is neither an arithmetic nor geometric sequence.
75. 6, 18, 54, …
SOLUTION:
Check the difference and ratio between terms.
18 – 6 = 12
– 18 = 36
54
There is no common difference between terms.
The common ratio between terms is 3. This is a geometric sequence.
76. 2, 4, 16, …
SOLUTION:
Check the difference and ratio between terms.
– 2 = 2
4
16 – 4 = 12
There is no common difference between the terms.
There is no common difference or ratio between the terms. This is neither a geometric nor an arithmetic sequence.
77. 8, –4, 2 …
SOLUTION:
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Check the difference and ratio between terms.
–4 – 8 = –12