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 |
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
Let Case I: If Case II: If |
||||||||
|
The sum of 20 terms of the series |
|||||||
|
a) |
4010 |
b) |
3860 |
c) |
4240 |
d) |
None of these |
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