Chapter 1.2A, Problem 16A

ASSESSMENT

Consider the sequences given in the table below. Find the least number, $n$, such that the $nth$ term of the geometric sequence is greater than the corresponding term in the arithmetic sequence.

Term Number	$1$	$2$	$3$	$4$	$5$	$6$	$\mathrm{...}$	$n$
Arithmetic	$400$	$600$	$800$	$1000$	$1200$	$1400$	$\mathrm{...}$
Geometric	$2$	$4$	$8$	$16$	$32$	$64$	$\mathrm{...}$