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 \( A_{11} \) in the arithmetic sequence given by the formula \( A_n = 4.8 + (n - 1) \cdot 2 \), we can substitute \( n = 11 \) into the formula.

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

First, calculate \( 11 - 1 \):

\[ 11 - 1 = 10 \]

Now substitute this back into the formula:

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

Now calculate \( 10 \cdot 2 \):

\[ 10 \cdot 2 = 20 \]

So we continue with:

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

Finally, calculate \( 4.8 + 20 \):

\[ A_{11} = 24.8 \]

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

\[ \boxed{24.8} \]

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