Chapter 1.2B, Problem 16A

ASSESSMENT

Consider the sequences given in the table below. Find the least number, $n$, such that the $n\text{th}$ 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	$200$	$500$	$800$	$1100$	$1400$	$1700$	$\mathrm{....}$
Geometric	$1$	$3$	$9$	$27$	$81$	$243$	$\mathrm{....}$