Question

The series that corresponds to the sequence 2n + 9 is:

Answer 1

The sequence is given below as

`2n+9`

step 1:

When n=1

`\begin{gathered} 2n+9 \\ 2(1)+9 \\ =2+9 \\ =11 \end{gathered}`

Step 2:

When n=2

`\begin{gathered} 2n+9 \\ =2(2)+9 \\ =4+9 \\ =13 \end{gathered}`

Step 3:

When n=3

`\begin{gathered} 2n+9 \\ =2(3)+9 \\ =6+9 \\ =15 \end{gathered}`

Step 4:

When n=4

`\begin{gathered} 2n+9 \\ =2(4)+9 \\ =8+9 \\ =17 \end{gathered}`

Step 5:

When n=5

`\begin{gathered} 2n+9 \\ =2(5)+9 \\ =10+9 \\ =19 \end{gathered}`

Step 6:

When n=6

`\begin{gathered} 2n+9 \\ =2(6)+9 \\ =12+9 \\ =21 \end{gathered}`

Hence,

The final answer is 11, 13, 15, 17,19, 21