89. 23,185

91. $3933.61

93. 1024

95. $1,190,374.35

97. 189.09 cm

99. 20 m

101. Common ratio: $2;2^9=512$ rectangles

103. $a_n={\left({\displaystyle \frac{1}{4}}\right)}^n$; Common ratio: ${\displaystyle \frac{1}{4}};{\displaystyle \sum _{i=1}^{\infty }{a}_n={\displaystyle \frac{1}{3}}}$