Question

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

Short answer

The first five terms of the sequence with the general term as $a_n=3^n+4$are 7, 13, 31. 85 and 247.

Step-by-step solution

Step 1. Given information

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

Step 2. Find the first term

$\begin{array}{l}\text{Forthefirsttermsubstitute}n=1,\\ \Rightarrow a_1=3^1+4\\ =3+4\\ =7\end{array}$

Step 3. Find the second term

$\begin{array}{l}\text{Forthesecondtermsubstitute}n=2,\\ \Rightarrow a_2=3^2+4\\ =9+4\\ =13\end{array}$

Step 4. Find the third term

$\begin{array}{l}\text{Forthethirdtermsubstitute}n=3,\\ \Rightarrow a_3=3^3+4\\ =27+4\\ =31\end{array}$

Step 5. Find the fourth term 

$\begin{array}{l}\text{Forthefourthtermsubstitute}n=4,\\ \Rightarrow a_4=3^4+4\\ =81+4\\ =85\end{array}$

Step 6. Find the fifth term 

$\begin{array}{l}\text{Forthefifthtermsubstitute}n=5,\\ \Rightarrow a_5=3^5+4\\ =243+4\\ =247\end{array}$