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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 true
Statement -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=SnSn1

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 D
Statement 1:
SnSn=7n+14n+17=n2[7(n1)+7+1]n2[4(n1)+4+17]
=n2[24+7(n1)]n2[210.5+4(n1)]

TnTn=4+7(n1)10.5+4(n1)74

Statement 1 False

Statement 2:
Whatever is Sn , Tn=SnSn1 is always true
Statement 2 True



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