Question

Write the first five terms of the sequence whose general term is $a_n=3n-4$

Short answer

The first five terms of the sequence with the general term as $a_n=3n-4$are -1,2,5,8 and 11

Step-by-step solution

Step 1. Given Information

$\begin{array}{l}\text{Theexpressionforthegeneraltermsisgivenas}\\ a_n=3n-4\\ \text{Wehavetofindthefirstfivetermsofthesequence.}\end{array}$

Step 2. Find the first term

$\begin{array}{l}\text{Forthefirsttermsubstitute}n=1,\\ \Rightarrow a_1=3\left(1\right)-4\\ =3-4\\ =-1\end{array}$

Step 3. Find the second term

$\begin{array}{l}\text{Forthesecondtermsubstitute}n=2,\\ \Rightarrow a_2=3\left(2\right)-4\\ =6-4\\ =2\end{array}$

Step 4. Find the third term

$\begin{array}{l}\text{Forthethirdtermsubstitute}n=3,\\ \Rightarrow a_3=3\left(3\right)-4\\ =9-4\\ =5\end{array}$

Step 5. Find the fourth term

$\begin{array}{l}\text{Forthefourthtermsubstitute}n=4,\\ \Rightarrow a_4=3\left(4\right)-4\\ =12-4\\ =8\end{array}$

Step 6. Find the fifth term

$\begin{array}{l}\text{Forthefifthtermsubstitute}n=5,\\ \Rightarrow a_5=3\left(5\right)-4\\ =15-4\\ =11\end{array}$