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What is the fifth number in a particular sequence of numbers, if the tenth number in the sequence is 450?
(1) The ninth number in the sequence is 150.
(2) Each number in the sequence is three times the previous number.
(1) The ninth number in the sequence is 150.
(2) Each number in the sequence is three times the previous number.
03 Aug 2022, 09:45
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What is the fifth number in a particular sequence of numbers, if the tenth number in the sequence is 450?
(1) The ninth number in the sequence is 150.
(2) Each number in the sequence is three times the previous number.
(1) The ninth number in the sequence is 150.
(2) Each number in the sequence is three times the previous number.
Question: WHat's the fifth term in sequence if the tenth term = 450?
To answer this question, we need to know how the sequence is progressing.
Statement 1: The ninth number in the sequence is 150
\(T_{10} = 450\)
\(T_{9} = 150\)
So the possibility is that every next term of the sequence is calculated by three times the previous term, \(T_{10} = 3*T_9\) which will result in one possibility of \(T_5\)
Other possibility is that every next term of the sequence is calculated by adding 300 to previous term \(T_{10} = 300+T_9\) which will result in one possibility of \(T_5\)
hence, NOT SUFFICIENT
Statement 2: Each number in the sequence is three times the previous number.
i.e. \(T_{10} = 3*T_9\)
i.e. \(T_5 = \frac{T_{10}}{3^5} = \frac{450}{3^5}\)
SUFFICIENT
Answer: Option B
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