Use the explicit formula below to find the fifth term of the sequence. Use the Formula Editor x−−√ to type math or use the Image icon to upload a photo of your work.

Question

an=−3+(n−1)(2)

Answer 1

To find the fifth term of the sequence defined by the explicit formula

\[ a_n = -3 + (n - 1)(2), \]

we will substitute \( n = 5 \) into the formula.

Calculating \( a_5 \):

\[ a_5 = -3 + (5 - 1)(2) \]

First, simplify \( (5 - 1) \):

\[ 5 - 1 = 4 \]

Now, substitute back into the formula:

\[ a_5 = -3 + (4)(2) \]

Next, perform the multiplication:

\[ 4 \times 2 = 8 \]

Now, substitute the result back:

\[ a_5 = -3 + 8 \]

Now, perform the addition:

\[ -3 + 8 = 5 \]

Thus, the fifth term of the sequence is

\[ \boxed{5}. \]