Chapter SH, Problem 10.19EP

To determine

To find:The recursive formula for given sequence.

Answer to Problem 10.19EP

The recursion formula is $a_n=a_{n-1}+4;a_1=3$ .

Explanation of Solution

Given: The given sequence is $a_n=2\cdot a_{n-1},a_1=24$ .

Consider the sequence,

  $a_3=96,r=2$ ...... (1)

The second term is,

  $\begin{array}{c}{a}_2=\frac{96}{2}\\ =48\end{array}$

The first term is,

  $\begin{array}{c}{a}_1=\frac{48}{2}\\ =24\end{array}$

The recursion formula for the GP is given by,

  $a_n=r\cdot a_{n-1}$

And,

  $a_1=24$

Therefore, the recursion formula is $a_n=2\cdot a_{n-1},a_1=24$ .