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S(n)=2n-5 for all integers n ge1. What i...

`S_(n)=2n-5` for all integers `n ge1`. What is the 11th term of the sequence?

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To find the 11th term of the sequence defined by the formula \( S_n = 2n - 5 \) for all integers \( n \geq 1 \), we can follow these steps: ### Step-by-Step Solution 1. **Identify the formula for the nth term**: The formula given is \( S_n = 2n - 5 \). 2. **Determine the value of n for the 11th term**: Since we are looking for the 11th term, we set \( n = 11 \). 3. **Substitute n into the formula**: We substitute \( n = 11 \) into the formula: \[ S_{11} = 2(11) - 5 \] 4. **Calculate the value**: First, calculate \( 2(11) \): \[ 2(11) = 22 \] Now, subtract 5 from 22: \[ 22 - 5 = 17 \] 5. **State the final answer**: Therefore, the 11th term of the sequence is: \[ S_{11} = 17 \] ### Final Answer The 11th term of the sequence is \( 17 \). ---
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