Question

Can you please help me with this problem Write the following Arithmetic Sequence using a Recursive Formula: an= -5+2(n - 1)A) a1=2, an=an-1-5B) a1=-5, an=an+1+2C) a1=-5, an=an-1+2D) a1=2, an=an+1-5

Answer 1

You have the following expression:

`a_n=-5+2(n-1)`

Notice that for each value of n = 1,2,... the value of an is two units greater then the previous one. Moreover, -5 is a constant and for n = 1, an = a1 = 5.

Based on the previous explanation, you can conclude that the arithmetic sequence is:

`\begin{gathered} a_n=a_(n-1)+2 \\ a_1=-5 \end{gathered}`

Hence, the answer is option C