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.
Options:
A .  4x−3x−1
B .  13
C .  2x+1x
D .  23
E .  a < -2
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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