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Question
If 7 times the seventh term of an A.P. is equal to 11 times its eleventh term, the value of eighteenth term of the A.P. is:
Options:
A .  23
B .  0
C .  68
D .  32
E .  -12
Answer: Option B
:
B
Seventh term of the AP = a + 6dEleventh term of the AP = a + 10d7(a + 6d) = 11(a + 10d) -> 7a + 42d = 11a + 110d -> 4a + 68d = 0-> a + 17 d = 0So, the eighteenth term is zero. Hence option (b)

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