$\frac{6}{6}$

ex$02$

$16.$ Select the summation that matches each of the following $$ expressions:

Expression

$($a$){\displaystyle \underset{n=2}{\overset{6}{}}}(2^n-3)$

$($b$){\displaystyle \underset{n=2}{\overset{6}{}}}(3n-5)$

$($c$){\displaystyle \underset{n=2}{\overset{6}{}}}(2n^2-4n+1),3$

$($d$){\displaystyle \underset{n=2}{\overset{6}{}}}(2n-3),2$

Choices

$(1)1+5+13+29+61$

$(2)1+3+5+7+9$

$(3)1+7+17+31+49$

$(4)1+4+7+10+13$

$17.$ What kind of growth best characterizes each of these functions?

Function

$($a$)8n^3+16n^2+32$

$($b$)2n+5$

$($c$)n^2+n$

$($d$){10}^n$

$($e$)256$

Summation

$1$

$4$

Growth Rate

$3$

$2$

$3$

$4$

Choices

$(1)$ constant

$(2)$ linear

$(3)$ polynomial

$(4)$ exponential

$18.$ Rank these functions from slowest growing $(1)$ to fastest growing $(5).$

$\backslash$table$[[$Function$,10n+10,\backslash$table$[[n^2-27n-9$