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The sequence formula is a key concept in arithmetic sequences. It allows us to calculate any term in the sequence by plugging in the position number, known as **n**. In this specific exercise, the sequence formula given is: The general form for an arithmetic sequence is: \[ a_n = a + (n-1)d \]

Here, **a_n** represents the nth term of the sequence, **a** is the first term, and **d** is the common difference. However, in our specific problem, the sequence formula is: \[a_n = 5n - 6\]

This tells us that each term in the sequence can be found by multiplying the position number (n) by 5 and then subtracting 6. Understanding the structure of the formula is essential.

Once you understand the formula, it becomes a straightforward task to find any term in the sequence by using simple substitution.

To calculate the nth term of an arithmetic sequence, we use the formula provided and substitute the value of **n**. In our exercise, we need to find the 8th term, represented as **a_8**.

The provided sequence formula was: \[a_n = 5n - 6\]

To find **a_8**, we substitute **n = 8** into the formula: \[a_8 = 5 \times 8 - 6\]

This step involves basic arithmetic - multiplication followed by subtraction. Calculating the term *** involves plugging 8 into the formula where **n** is, and then performing the operations. This makes our calculation clear and systematic.

Substitution and simplification are crucial steps in solving for the term in arithmetic sequences. After the formula is understood and the desired term is identified, substitution involves replacing the variable **n** with the given position number. For our exercise, substituting **n = 8** into the formula looks like this:

**Step 1:** \[a_8 = 5 \times 8 - 6\]

Next, perform the multiplication: \[5 \times 8 = 40\]

Finally, subtract 6 from 40: \[40 - 6 = 34\]

So, **a_8** equals 34. Simplification ensures that we neatly arrive at the final answer by performing the arithmetic operations step by step, confirming the result. This part is often the most straightforward when all previous steps are correctly followed.