Question

Consider the arithmetic sequence:3,5,7,9,...If n is an integer, which of these functions generate the sequence?

Answer 1

Tn = 2n+1

Step-by-step explanation:

Gven tthe arithemetic sequence 3, 5, 7, 9...

The nth term of the sequence is expressed as;

Tn = a + (n-1)*d

Given

first term a = 3

Common difference d = 5 - 3 = 7 - 5 = 2

Substitute into the expression

Tn = 3 + (n-1) * 2

Tn = 3 + 2n - 2

Tn = 2n + 1

hence the function that gennerate the sequence is Tn = 2n+1