Find the 10th Term in the Sequence 5n-3: Step-by-Step Solution

To solve this problem, let's work through these steps:

• Step 1: Identify the expression defining the sequence.
• Step 2: Substitute $n = 10$ into the expression.
• Step 3: Perform the arithmetic calculation.
• Step 4: Verify if the resulting term corresponds to any given choices.

Now, let's proceed with each step:

Step 1: The sequence is defined by the expression $a_n = 5n - 3$.

Step 2: To find the 10th element, substitute $n = 10$ into the expression:
$a_{10} = 5(10) - 3$.

Step 3: Carry out the calculation:
$a_{10} = 50 - 3 = 47$.

Step 4: Upon checking the possible answers, the calculated value $a_{10} = 47$ matches option $47$ .

Therefore, the value of the 10th element in the sequence is $47$.