DerlaUniqueKey16idn
Answered

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Which of the following set of numbers is an example of a sequence?

A.) { 1,2,3,4,5 }
B.) { 1,4,9,16,27 }
C.) { 2,4,8,16,31}
D.) { 1,1,2,4,6}​

Sagot :

Hurricanedoderlaidn

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.

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