Question

The value of the 0 term is 32.The recursive rule is:now=previous term +10Find the 20th term.

Answer 1

Let's begin by listing out the information given to us:

0 term = 32

The recursive rule is given by:

`\begin{gathered} x_n=x_(n-1)+10 \\ x_1=32 \\ x_2=x_1+10\Rightarrow32+10=42 \\ x_3=x_2+10\Rightarrow42+10=52 \\ x_n=32+10(n-1) \\ n=20 \\ x_(20)=32+10(20-1)\Rightarrow32+10(19) \\ x_(20)=32+190=222 \\ x_(20)=222 \end{gathered}`