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Grade: 12th Pass

                        

An infinite G.P. has its first term as x and sum as 5. Then what is the range of x?

3 years ago

Answers : (8)

Arun
24742 Points
							
First term = x
Sum of infinte terms of a G.P. = 5
Hence
If the common ratio is r, then for a sum to infinity -1
and 5=x/(1-r) so r=1- x/5 giving 
-1
0
3 years ago
ASh
62 Points
							
so what is the range?????????????????????????????????????????????????????????????
??????????????????????????????????
3 years ago
Arun
24742 Points
							
If the common ratio is r, then for a sum to infinity -1
and 5=x/(1-r) so r=1- x/5 giving 
-1
0
3 years ago
Arun
24742 Points
							
If the common ratio is r, then for a sum to infinity -1
and 5=x/(1-r) so r=1- x/5 giving 
-1
 
0
 
I dont know why my comment is not posted fully
3 years ago
ASh
62 Points
							
i can see only -1 and 0
that is
here is what i see
 
If the common ratio is r, then for a sum to infinity -1
and 5=x/(1-r) so r=1- x/5 giving 
-1
 
0
 
I dont know why my comment is not posted fully
 
 
3 years ago
ASh
62 Points
							
so i am not dissapproving your answer
….........................................................................................................................
3 years ago
Arun
24742 Points
							
Sum of infinite series
5 = x/1-r
1-r = x/5
r = 1-x/5
-1
Solve it
0
Hope this time you get the full answer.
 
3 years ago
Lucky
27 Points
							Since Sun of infinite GP is x/1-r  = 5, where r is a common ratio. Therefore, x=5(1-r)   - `a`we know that,     -1-r>-1 (multiply by -1)2>1-r>0 (adding 1)10>(1-r)5>0  (multiply by 5 )(from -a)10>x>0  is the required range.
						
2 years ago
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