Selina Textbook Solutions: Geometric Progression | Mathematics Class 10 ICSE PDF Download

 Page 1


Geometric Progression 
 
 
Question 1. 
Find, which of the following sequence form a G.P. : 
(i) 8, 24, 72, 216, …… 
(ii) , …….. 
(iii) 9, 12, 16, 24, …… 
 
Solution 1(i). 
 
 
Solution 1(ii). 
 
Solution 1(iii). 
 
Page 2


Geometric Progression 
 
 
Question 1. 
Find, which of the following sequence form a G.P. : 
(i) 8, 24, 72, 216, …… 
(ii) , …….. 
(iii) 9, 12, 16, 24, …… 
 
Solution 1(i). 
 
 
Solution 1(ii). 
 
Solution 1(iii). 
 
Question 2. 
Find the 9th term of the series : 
1, 4, 16, 64 …….. 
 
Solution: 
 
 
Question 3. 
Find the seventh term of the G.P. : 
1, , 3,  ….. 
 
Solution: 
 
 
Question 4. 
 
Find the 8
th
 term of the sequence : 
 3, ……. 
 
Page 3


Geometric Progression 
 
 
Question 1. 
Find, which of the following sequence form a G.P. : 
(i) 8, 24, 72, 216, …… 
(ii) , …….. 
(iii) 9, 12, 16, 24, …… 
 
Solution 1(i). 
 
 
Solution 1(ii). 
 
Solution 1(iii). 
 
Question 2. 
Find the 9th term of the series : 
1, 4, 16, 64 …….. 
 
Solution: 
 
 
Question 3. 
Find the seventh term of the G.P. : 
1, , 3,  ….. 
 
Solution: 
 
 
Question 4. 
 
Find the 8
th
 term of the sequence : 
 3, ……. 
 
Solution: 
 
 
Question 5. 
 
Find the 10
th
 term of the G.P. : 
 
Solution: 
 
 
Question 6. 
Find the n
th
 term of the series : 
 
Page 4


Geometric Progression 
 
 
Question 1. 
Find, which of the following sequence form a G.P. : 
(i) 8, 24, 72, 216, …… 
(ii) , …….. 
(iii) 9, 12, 16, 24, …… 
 
Solution 1(i). 
 
 
Solution 1(ii). 
 
Solution 1(iii). 
 
Question 2. 
Find the 9th term of the series : 
1, 4, 16, 64 …….. 
 
Solution: 
 
 
Question 3. 
Find the seventh term of the G.P. : 
1, , 3,  ….. 
 
Solution: 
 
 
Question 4. 
 
Find the 8
th
 term of the sequence : 
 3, ……. 
 
Solution: 
 
 
Question 5. 
 
Find the 10
th
 term of the G.P. : 
 
Solution: 
 
 
Question 6. 
Find the n
th
 term of the series : 
 
Solution: 
 
 
Question 7. 
Find the next three terms of the sequence : 
 
, 5, , …… 
 
Solution: 
 
 
Question 8. 
 
Find the sixth term of the series : 
2
2
, 2
3
, 2
4
, ………. 
Page 5


Geometric Progression 
 
 
Question 1. 
Find, which of the following sequence form a G.P. : 
(i) 8, 24, 72, 216, …… 
(ii) , …….. 
(iii) 9, 12, 16, 24, …… 
 
Solution 1(i). 
 
 
Solution 1(ii). 
 
Solution 1(iii). 
 
Question 2. 
Find the 9th term of the series : 
1, 4, 16, 64 …….. 
 
Solution: 
 
 
Question 3. 
Find the seventh term of the G.P. : 
1, , 3,  ….. 
 
Solution: 
 
 
Question 4. 
 
Find the 8
th
 term of the sequence : 
 3, ……. 
 
Solution: 
 
 
Question 5. 
 
Find the 10
th
 term of the G.P. : 
 
Solution: 
 
 
Question 6. 
Find the n
th
 term of the series : 
 
Solution: 
 
 
Question 7. 
Find the next three terms of the sequence : 
 
, 5, , …… 
 
Solution: 
 
 
Question 8. 
 
Find the sixth term of the series : 
2
2
, 2
3
, 2
4
, ………. 
Solution: 
 
Question 9. 
 
Find the seventh term of the G.P. : 
[late]\sqrt{3}+1,1, \frac{\sqrt{3}-1}{2}[/latex], …………….. 
 
Solution: