Question

Arithmetic and Geometric Sequences

Answer 1

Answer:

Step-by-step explanation:

This is arithmetic since adding 4 to each term gets us to the next term in the sequence. That means that the common difference, d, is 4. The general arithmetic explicit formula is

$a_n=a_1+d(n-1)$ and using the info given when a1 = 3 and d = 4:

$a_n=3+4(n-1)$ or, if you want to make it easier to deal with:

$a_n=4n-1$ (I just distributed through the parenthesis and then combined like terms. As you can see, arithmetic sequences are linear).