Question

Write each sequence as a function.
b. {1, 3, 5, 7, 9, … }

Answer 1

Answer:
`f(n)=2n-1`

Explanation:

The given sequence : {1, 3, 5, 7, 9, … }

The term of the sequence are consecutive odd numbers .

Let n be the number of terms.

We make the following table ,

n
`a_n`

1 2(1)-1=1

2 2(2)-1=3

3 2(3)-1=5

4 2(4)-1=7

5 2(5)-1=9

Therefore, the function for the given sequence :
`f(n)=2n-1`