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Jun 26, 2018 12:34 pm
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (02:02) correct
16%
(02:18)
wrong
based on 188
sessions
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Each of the even-numbered terms in a certain sequence is formed by multiplying the preceding term by –1. Each of the odd-numbered terms in the sequence is formed by adding 3 to the preceding term. If the first term in the sequence is 3, then what is the 168th term?
A. –3
B. –1
C. 0
D. 1
E. 3
A. –3
B. –1
C. 0
D. 1
E. 3
Jun 26, 2018 12:45 pm
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Solution
Given:
- • Each of the even-numbered terms in a certain sequence is formed by multiplying the preceding term by –1
• Each of the odd-numbered terms in the sequence is formed by adding 3 to the preceding term
• First term in the sequence is 3
To find:
- • The value of the 168th term
Approach and Working:
- • 1st term = 3
• 2nd term = 3 * (-1) = -3
• 3rd term = -3 + 3 = 0
• 4th term = 0 * (-1) = 0
• 5th term = 0 + 3 = 3
• 6th term = 3 * (-1) = -3
• 7th term = -3 + 3 = 0
• 8th term = 0 * (-1) = 0
We can see, every 4th term in the series is getting a value of 0
- • Therefore, the 168th term (4 * 42) will also be equal to 0
Hence, the correct answer is option C.
Answer: C
Jun 26, 2018 12:54 pm
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Term 1 = 3
Term 2 = -1*(3) = -3
Term 3 = 0
Term 4 = -1*(0) = 0
Term 5 = 3 + 0 = 3
So the series repeat on multiples of 5. Therefore 165th term will be = 3.
From above:
166th Term = -3
167th Term = 0
168th Term = 0
Therefore option C
Term 2 = -1*(3) = -3
Term 3 = 0
Term 4 = -1*(0) = 0
Term 5 = 3 + 0 = 3
So the series repeat on multiples of 5. Therefore 165th term will be = 3.
From above:
166th Term = -3
167th Term = 0
168th Term = 0
Therefore option C
