What the explicit formula of 3 5 7 9

Step-by-step explanation:

Given:

The given sequence is 3, 5, 7, 9

The difference between the second and first term is 5 - 3 = 2

The difference between the third and second term is 7 - 5 = 2

The difference between the fourth and third term is 9 - 7 = 2

So, there is a common difference of 2. Thus a sequence which has the same difference is known as an arithmetic sequence.

The explicit formula to determine the term of an arithmetic sequence is given as:

Where,

Plug in 3 for and 2 for . This gives,

Therefore, the explicit formula to represent the given sequence is: