Step 1
Write the sequence
11, 14 , 17 , 20
Step 2
Determine if the sequence is arithmetic or geometric progression.
Since the sequence has a common difference = 3
d = 3
first term a = 11
Step 3
Use the nth term of arithmetic progression formula to find the 32th term.
[tex]\begin{gathered} T_n\text{ = a + (n -1 ) d} \\ a\text{ = first term} \\ \text{n = number of term} \\ T_{32}\text{ = 11 + (32 - 1) }\times\text{ 3} \\ =\text{ 11 + 31 }\times\text{ 3} \\ =\text{ 11 + 93} \\ =\text{ 104} \end{gathered}[/tex]