Question

Given the explicit formula, find the 5th term.

an = −5 +10(n − 1)


(1 point)
Responses

35
35

10
10

-25
-25

45

Answer 1

To find the 5th term of the sequence given by the formula \( a_n = -5 + 10(n - 1) \), we can substitute \( n = 5 \) into the formula:

\[
a_5 = -5 + 10(5 - 1)
\]

Calculating it step by step:

1. First, calculate \( 5 - 1 \):
\[
5 - 1 = 4
\]

2. Now, substitute that back into the formula:
\[
a_5 = -5 + 10 \times 4
\]

3. Next, calculate \( 10 \times 4 \):
\[
10 \times 4 = 40
\]

4. Now, substitute that back in:
\[
a_5 = -5 + 40
\]

5. Finally, add the numbers:
\[
a_5 = 35
\]

So, the 5th term is \( \boxed{35} \).