Question

What does F(1) represent ?

Answer 1

F(1) represents the first term of the sequence.

Explanation:

Let us suppose the sequence function

`F(n) = 16-3n`

We can find the first term of the sequence by substituting n=1 in the function sequence

`F(1) = 16-3(1)`

`= 16-3`

`=13`

We can find the 2nd term of the sequence by substituting n=2 in the function sequence

`F(2) = 16-3(2)`

`= 16-6`

`=10`

We can find the 3rd term of the sequence by substituting n=3 in the function sequence

`F(3) = 16-3(3)`

`= 16-9`

`=7`

So the first three terms of the sequence is:

13, 10, 7...

As the common difference is the same.

i.e. d = 10-13 = -3, d = 7-10 = -3

Hence, it is an Arithmetic sequence.

As the first term is 13, which can be obtained by putting n=1 in the function sequence.

Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.