Last Updated On [03-11-2023]
The numbers 
and 
are between 2 and 18, such that
1. Their sum is 25
2. The numbers 
and 
are consecutive terms of an A.P.
3. The numbers 
are consecutive terms of a G.P.
|
The value of |
|||||||
|
a) |
500 |
b) |
450 |
c) |
720 |
d) |
None of these |
Question ID - 51132 :- The numbers and are between 2 and 18, such that
1. Their sum is 25
2. The numbers and are consecutive terms of an A.P.
3. The numbers are consecutive terms of a G.P.
The value of 
is
a)
500
b)
450
c)
720
d)
None of these
The numbers and are between 2 and 18, such that
1. Their sum is 25
2. The numbers and are consecutive terms of an A.P.
3. The numbers are consecutive terms of a G.P.
|
The value of |
|||||||
|
a) |
500 |
b) |
450 |
c) |
720 |
d) |
None of these |
(d)
We have,
(1)
(2)
(3)
Eliminating 
from (1) and (2), we have
Then from (3),
Now, 
is not possible since it does not lie between 2 and 18. Hence, 
. Then from (3), 
and finally from (2), 
Thus, 
and 
. Hence, 
Also, equation 
is 
, which has imaginary roots
If 
are roots of the equation 
, then sum of product of roots taken two at a time is 
Next Question :
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Let Case I: If Case II: If |
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|
|
The sum of 20 terms of the series |
|||||||
|
|
a) |
4010 |
b) |
3860 |
c) |
4240 |
d) |
None of these |
be the terms of a sequence and let 
are in A.P., then 
is quadratic in ‘
’. If 
are in A.P., then 
is cubic in 
are not in A.P., but in G.P., then 
, where 
is the common ratio of the G.P. 
and 
Again, if
are not in G.P. but 
are in G.P., then 
is of form 
and 
is the common ratio of the G.P. 
and 
isView Topper Answer
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