Answer:
62.34
Step-by-step explanation:
Substitute n = 0 to n = 5 into the expression and sum the terms, that is
3 [ [tex](\frac{3}{2}) ^{0}[/tex] + [tex](\frac{3}{2}) ^{1}[/tex] + [tex](\frac{3}{2}) ^{2}[/tex] + [tex](\frac{3}{2}) ^{3}[/tex] + [tex](\frac{3}{2}) ^{4}[/tex] + [tex](\frac{3}{2}) ^{5}[/tex] ]
= 3 [ 1 + [tex]\frac{3}{2}[/tex] + [tex]\frac{9}{4}[/tex] + [tex]\frac{27}{8}[/tex] + [tex]\frac{81}{16}[/tex] + [tex]\frac{243}{32}[/tex] ]
= 3( [tex]\frac{665}{32}[/tex] )
= 3 × 20.781
= 62.34 ( to the nearest hundredth )
