Use the explicit formula An=4.8+(n−1)2to find the 11th term in the described arithmetic sequence.(1 point)

1 answer

To find the 11th term in the arithmetic sequence given by the explicit formula \( A_n = 4.8 + (n - 1) 2 \), we will substitute \( n = 11 \) into the formula.

Substituting:

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

Calculating \( 11 - 1 \):

\[ 11 - 1 = 10 \]

Now, substitute this value into the formula:

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

Calculating \( 10 \cdot 2 \):

\[ 10 \cdot 2 = 20 \]

Now, add this result to 4.8:

\[ A_{11} = 4.8 + 20 = 24.8 \]

Thus, the 11th term in the arithmetic sequence is \( \boxed{24.8} \).

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