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Question

# Each of these questions contains two statements, Statement 1(Assertion) and Statement 2(Reason).State which of the following is correct :(A) Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.(B) Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for Statement-I(C) Statement-I is true, Statement-II is false(D) Statement-I is false, Statement-II is trueStatement -I : The sum of n terms of two arithmetic progressions are in the ratio (7n+1):(4n+17), then the ratio of their nth terms is 7:4.Statement-II : If Sn=an2+bn+c, then Tn=Snâˆ’Snâˆ’1

A
A
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B
B
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C
C
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D
D
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Solution

## The correct option is D DStatement 1:SnS′n=7n+14n+17=n2[7(n−1)+7+1]n2[4(n−1)+4+17] =n2[2∗4+7(n−1)]n2[2∗10.5+4(n−1)]TnT′n=4+7(n−1)10.5+4(n−1)≠74Statement 1 → FalseStatement 2:Whatever is Sn , Tn=Sn−Sn−1 is always trueStatement 2 → True

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