Answer:
A.) { 1,2,3,4,5 } = The exact Answer!!!
Step-by-step explanation:
Why? Paano nga ba?
In a simplest way: Every term in a Sequence has its own common difference denoted by "d".
Step by step procedure to know the importance:
1.)
Sequence: 1, 2, 3, 4, 5
Common difference "d" : 1
2.)
The first term/A1 is 1
The second term/A2 is 2
The third term/A3 is 3
The fourth term/A4 is 4
The fifth term/A5 is 5
3.)
Infinite Sequence has 3 dots in a last term it means it goes forever:
Sequence: 1, 2, 3, 4, 5, ...
Finite Sequence doens't have dots in a last term it means it has a limit:
Sequence: 1, 2, 3, 4, 5
4.) Solving:
Sequence: 1, 2, 3, 4, 5
Common difference "d" : 1
• 1 + 1 = 2
• 2 + 1 = 3
• 3 + 1 = 4
• 4 + 1 = 5
Another example:
Sequence: 1, 3, 5, 7, 9, 11
Common difference "d" : 2
• 1 + 2 = 3
• 3 + 2 = 5
• 5 + 2 = 7
• 7 + 2 = 9
• 9 + 2 = 11
Remember:
- If every term has the same Common Difference to obtain it means it's an example of Sequence.
- If every term does not the same Common Difference it means it's not an example of Sequence.
