Activity 2 Comments

Comment on Activity 2

Here are the consecutive sums:

$1$	$= 1$
$1 - \frac{1}{6}$	$= 0.83333333$
$1 - \frac{1}{6} + \frac{1}{120}$	$= 0.8416667$
$1 - \frac{1}{6} + \frac{1}{120} - \frac{1}{5040}$	$= 0.8414683$
$1 - \frac{1}{6} + \frac{1}{120} - \frac{1}{5040} + \frac{1}{362880}$	$= 0.8414710$
$1 - \frac{1}{6} + \frac{1}{120} - \frac{1}{5040} + \frac{1}{362880} - \frac{1}{39916800}$	$= 0.8414710$

The last value is the correct value of $sin 1$ to six decimal places.