Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for [tex]S_{n}[/tex] , that is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] (a₁ + [tex]a_{n}[/tex] )
with a₁ = 5 and [tex]a_{n}[/tex] = a₂₇ = 83 , then
S₂₇ = [tex]\frac{27}{2}[/tex] (5 + 83) = 13.5 × 88 = 1188