Question 1:   The fifth term of the geometric progression is  $a_5=9$ ,  and common ratio is  $r=-3$ .  Find the sixth  $(a_6)$  term of the progression.

Question 2:   In the geometric progression  $(a_n)$ ,  the initial term is  $a_1=16$ ,  and the common ratio is  $r=-\frac{1}{2}$ .  Find the fifth term of the sequence.

Question 3:   Find the common ratio and the fifth term of the geometric sequence:  $\frac{1}{216}$ ,$\frac{1}{36}$ ,$\frac{1}{6}$ ….

Question 4:   Find the common ratio  $(r)$  of the geometric sequence  $(a_n)$  if  $a_1=2$  and  $a_5=32$ .

Question 5:   Find third term of geometric progression if  $a_2=25$  and  $a_4=49$ .

Question 6:   For any natural  $n$ ,  the sum of the first  $n$  terms of the geometric progression  $(a_n)$  is  $S_n=5\left(3^n-1\right)$ .  Find the initial term and the common ratio  $(r)$ .

Question 7:   Find the sum of  $n$  first terms of the geometric progression  $(a_n)$  if  $a_1=-8$ ,  $r=\frac{1}{2}$  and  $n=4$ .

Question 8:   Find the sum of the first five terms of the geometric progression  $(a_n)$ :  $12,36,\mathrm{108...}$

Question 9:   Find the sum of the infinite geometric progression  $(a_n)$  if  $a_1=55$  and  $r=\frac{1}{6}$ .

Question 10:   Find the sum of the infinite geometric sequence:  $10,1,0.1$