Chapter 7, Problem 80SGR

To determine

The recursive formula for the given sequence.

Answer to Problem 80SGR

The recursive formula is $a_n=\frac{a_{n-1}}{2}$ .

Explanation of Solution

Given information:The sequence given 32, 16, 8, 4, ….

Calculation:

The first term given = 32.

  $\therefore a_1=32$

Second term $a_2=16$ , third term $a_3=8$ , fourth term $a_4=4$ .

So we can write,

  $\begin{array}{l}{a}_2=16=\frac{32}{2}=\frac{a_1}{2}\\ a_3=8=\frac{16}{2}=\frac{a_2}{2}\\ a_4=4=\frac{8}{2}=\frac{a_3}{2}\end{array}$

$\therefore$ We can write, $a_n=\frac{a_{n-1}}{2}$ .