Question

The given tables shows some functions. Match the missing numbers of the function with their correct values.

• A. 14
• B. 64
• C. 260

Answer 1

First case:

Input	1st term	2nd term	3rd term
Output	$1=4^0$	$4=4^1$	$16=4^2$

$\text{So, every output follows the}$
$\text{relationship =}{4}^{n-1}$

$\therefore \text{4th term will be:}{4}^{4-1}=4^3=64$


Second case:

Input	1st term	2nd term	3rd term
Output	$5=3\times 1+2$	$8=3\times 2+2$	$11=3\times 3+2$

$\text{So, every output follows the}$
$\text{relationship =}3\times n+2$

$\therefore \text{4th term will be:}3\times 4+2=14$


Third case:

Input	1st term	2nd term	3rd term
Output	$2=1^1+1$	$6=2^2+2$	$30=3^3+3$

$\text{So, every output follows the}$
$\text{relationship =}{n}^n+n$

$\therefore \text{4th term will be:}{4}^4+4=260$