Question

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

Answer 1

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

Step-by-step 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 : $f(n)=2n-1$