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Activity 3
ACTIVITIES
A. 1. PRACTICE
Direction: Write the general term of the following sequences.
1.3, 7, 11, 15, 19, ...
2.0, 3, 8, 15, 24, ...
3 3 3
3
3
3.8' 12' 16' 20' 24
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Answer (1)
Step-by-step explanation:*Sequence 1: 3, 7, 11, 15, 19, ...*The common difference is 4. The general term can be represented as:an = 3 + (n-1)4an = 4n - 1*Sequence 2: 0, 3, 8, 15, 24, ...*The differences between terms are 3, 5, 7, 9, ... (adding 2 each time). This suggests a quadratic relationship:an = n² - 1*Sequence 3: 3/8, 3/12, 3/16, 3/20, 3/24, ...*The numerators are constant (3), and the denominators increase by 4 each time:an = 3 / (4n + 4)an = 3 / (4(n+1))These are the general terms for each sequence.
