Question

Write the first five terms of the sequence whose general term is$a_n=2n-5$

Short answer

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

Step-by-step solution

Step 1. Given information

$\begin{array}{l}\text{Theexpressionforthegeneraltermsisgivenas}\\ a_n=2n-5\\ \text{Wehavetofindthefirstfivetermsofthesequence.}\end{array}$

Step 2. Find the first term

$\begin{array}{l}\text{Forthefirsttermsubstitute}n=1,\\ \Rightarrow a_1=2\left(1\right)-5\\ =2-5\\ =-3\end{array}$

Step 3. Find the second term

$\begin{array}{l}\text{Forthesecondtermsubstitute}n=2,\\ \Rightarrow a_2=2\left(2\right)-5\\ =4-5\\ =-1\end{array}$

Step 4. Find the third term

$\begin{array}{l}\text{Forthethirdtermsubstitute}n=3,\\ \Rightarrow a_3=2\left(3\right)-5\\ =6-5\\ =1\end{array}$

Step 5. Find the fourth term

$\begin{array}{l}\text{Forthefourthtermsubstitute}n=4,\\ \Rightarrow a_4=2\left(4\right)-5\\ =8-5\\ =3\end{array}$

Step 6. Find the fifth term

$\begin{array}{l}\text{Forthefifthtermsubstitute}n=5,\\ \Rightarrow a_5=2\left(5\right)-5\\ =10-5\\ =5\end{array}$