Use the explicit formula An=4.8 + (n − 1)2

Question

to find the 11th term in the described arithmetic sequence.

(1 point)
A11 =

Answer 1

To find the 11th term \( A_{11} \) in the arithmetic sequence given by the formula

\[ A_n = 4.8 + (n - 1) \cdot 2 \]

we can substitute \( n = 11 \) into the formula:

\[ A_{11} = 4.8 + (11 - 1) \cdot 2 \]

Now, calculate \( (11 - 1) \):

\[ A_{11} = 4.8 + 10 \cdot 2 \]

Next, calculate \( 10 \cdot 2 \):

\[ A_{11} = 4.8 + 20 \]

Now, add \( 4.8 \) and \( 20 \):

\[ A_{11} = 24.8 \]

Thus, the 11th term \( A_{11} \) is

\[ \boxed{24.8} \]