Question
There is an arithmetic progression with first term = common difference. The number of terms in this series is 2x. A new series is formed taking the odd terms of the first series upto (2x-1)th term. Find the ratio of the sum of the terms in the old series to that in the new series.
Answer: Option C
:
C
Option (c)
Let the first term = 1, cd = 1
Take x = 2, 2x = 4, the progression is 1, 2, 3, 4
New progression = 1, 3
Sum to x terms of progression 1 = 1+2+3+4 = 10
Sum to new progression = 4
Ratio=104=52.
Only option c satisfies this condition.
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:
C
Option (c)
Let the first term = 1, cd = 1
Take x = 2, 2x = 4, the progression is 1, 2, 3, 4
New progression = 1, 3
Sum to x terms of progression 1 = 1+2+3+4 = 10
Sum to new progression = 4
Ratio=104=52.
Only option c satisfies this condition.
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