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

to find the 11th term in the described arithmetic sequence.(1 point)
A11=

1 answer

To find the 11th term of the arithmetic sequence given by the explicit formula \( A_n = 4.8 + (n - 1)2 \), you can substitute \( n = 11 \) into the formula:

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

Calculating the expression step by step:

  1. Calculate \( 11 - 1 = 10 \)
  2. Multiply \( 10 \cdot 2 = 20 \)
  3. Add \( 4.8 + 20 = 24.8 \)

So, the 11th term is:

\[ A_{11} = 24.8 \]