Question

Find the missing terms in the following geometric sequence.

Answer 1

here is the picture

Answer 2

first term a=18
last term=-56250
no. of terms=n
Let c.r .=r
\[Tn=ar ^{n-1},-56250=ar ^{6-1}=18r ^{5},r ^{5}=\frac{ -56250 }{18 } =-3125=\left( -5 \right)^{5} \]
r=-5
\[T2=a*r=18*-5=-90\]
\[T3=ar ^{2}=18*\left( -5 \right)^{2}=450\]
\[T4=ar ^{2}=18\left( -5 \right)^{3}=18*-125=-2250\]
\[T5=ar ^{4}=18*\left( -5 \right)^{4}=18*625=11250\]
missing terms are -90,450,-2250,11250