Two arithmetic progressions have the same numbers. The ratio of the last term of the first progression to first term of the second progression is equal to the ratio of the last term of the second progression to the first term of the first progression and is equal to 4, the ratio of the sum of the 
terms of the first progression to the sum of the 
terms of the second progression is equal to 2
The ratio of their common difference is
a)
12
b)
24
c)
26
d)
9
Two arithmetic progressions have the same numbers. The ratio of the last term of the first progression to first term of the second progression is equal to the ratio of the last term of the second progression to the first term of the first progression and is equal to 4, the ratio of the sum of the terms of the first progression to the sum of the terms of the second progression is equal to 2
The ratio of their common difference is
a)
12
b)
24
c)
26
d)
9
Question ID - 51131 | SaraNextGen Top Answer
Two arithmetic progressions have the same numbers. The ratio of the last term of the first progression to first term of the second progression is equal to the ratio of the last term of the second progression to the first term of the first progression and is equal to 4, the ratio of the sum of the terms of the first progression to the sum of the terms of the second progression is equal to 2
The ratio of their common difference is
a)
12
b)
24
c)
26
d)
9
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Two arithmetic progressions have the same numbers. The ratio of the last term of the first progression to first term of the second progression is equal to the ratio of the last term of the second progression to the first term of the first progression and is equal to 4, the ratio of the sum of the |
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The ratio of their common difference is |
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a) |
12 |
b) |
24 |
c) |
26 |
d) |
9 |
(c)
Let the first term 
and common difference 
of the first A.P. and the first6 term 
and commo0n difference 
of the second A.P. and let the number of terms be 
. Then,
(1)
(2)
From (1) and (2), we get
(3)
(4)
(5)
gives
(6)
gives
(7)
Further, 
gives
Or 
Putting 
in (3) and solving it with (4), we get
Then, the ratio of their 
terms is
