A sequence is defined by $a_{\mathrm{n}}=3n-2$ for $n\ge 1$. What is the first term of the sequence, $a_1$?

• A. $a_1=3$
• B. $a_1=-1$
• C. $a_1=5$
• D. $a_1=1$

Answer: (D)

Verified step by step guidance

1. Identify the formula for the sequence given as \(a_n = 3n - 2\) for \(n \geq 1\).
2. To find the first term \(a_1\), substitute \(n = 1\) into the formula.
3. Calculate \(a_1\) by evaluating \$3(1) - 2$.
4. Simplify the expression to get \$3 - 2$.
5. The result of this simplification gives the value of the first term \(a_1\).