Question

What is the 32 th term of the sequence 11, 14, 17, 20...?

Answer 1

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.

`\begin{gathered} T_n\text{ = a + (n -1 ) d} \\ a\text{ = first term} \\ \text{n = number of term} \\ T_(32)\text{ = 11 + (32 - 1) }*\text{ 3} \\ =\text{ 11 + 31 }*\text{ 3} \\ =\text{ 11 + 93} \\ =\text{ 104} \end{gathered}`