GreenlightTestPrep wrote:
In sequence X, \(t_1 = 3\), \(t_2 =7\), \(t_3 = 15\), and \(t_4 = 31\)
Quantity A |
Quantity B |
\(t_5\) of sequence X |
\(63\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
I created this question to highlight the fact that the GRE does not test our ability to find missing terms in a sequence
unless the sequence is defined for us.
The reason is that there's no way that we can definitively determine ONE (and ONLY ONE) pattern in a given sequence.
Consider this example: 1, 2, 4, __
What's the missing term here?
Well, if we read the sequence as doubling from one term to the next, the next term is 8
HOWEVER, if we notice that we keep adding successively larger integers to each term (i.e., add 1, then add 2, then add 3, etc.) the next term is 7
Likewise, (if we want to get a bit silly), we might look at the given sequence (5, 10, 15, 20, 25, __) and say that the next term is
88. Why?
Because 5 is my favorite number, 10 is my 2nd favorite number, 15 is my 3rd favorite number, ... and
88 is 6th favorite number.
So, although you might have found a certain pattern in the sequence (double and add 1), we can't be certain that this is THE pattern.
This means t_5 can have ANY numeric value.
Answer: D