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The first six terms of an infinite sequence are 2, 4, 4, 3, 7, 5 and t
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20 Oct 2022, 05:20
20 Oct 2022, 05:20
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The first six terms of an infinite sequence are 2, 4, 4, 3, 7, 5 and these six terms repeat in the same order. (e.g., 2, 4, 4, 3, 7, 5, 2, 4, 4, 3, 7, 5 . . . )
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.
Quantity A |
Quantity B |
Term 49 |
Term 50 |
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.
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GRE Math Essentials (2022)
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GRE Math Essentials (2022)
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Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
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WE:Engineering (Computer Software)
The first six terms of an infinite sequence are 2, 4, 4, 3, 7, 5 and t
[#permalink]
20 Oct 2022, 07:43
20 Oct 2022, 07:43
1
Given that a sequence is repeated with same six terms 2, 4, 4, 3, 7, 5, 2, 4, 4, 3, 7, 5 and we need to find the value of Term 49 and Term 50
Quantity A : Term 49
Term 1 = Term 7 = Term 13
=> If we take remainder of the term number by 6 then the remainder term number and original term number will be same
Ex. Remainder of 7 by 6 is 1 => Term 7 = Term 1
( Watch this video to learn about the Basics of Remainders )
=> Remainder of 49 by 6 is 1 => Term 49 = Term 1 = 2
Quantity B : Term 50
Similarly, Remainder of 50 by 6 is 2 => Term 50 = Term 2 = 4
Clearly, Quantity B(4) > Quantity A(2)
So, Answer will be B
Hope it helps!
Watch the following video to learn How to Sequence problems
Quantity A : Term 49
Term 1 = Term 7 = Term 13
=> If we take remainder of the term number by 6 then the remainder term number and original term number will be same
Ex. Remainder of 7 by 6 is 1 => Term 7 = Term 1
( Watch this video to learn about the Basics of Remainders )
=> Remainder of 49 by 6 is 1 => Term 49 = Term 1 = 2
Quantity B : Term 50
Similarly, Remainder of 50 by 6 is 2 => Term 50 = Term 2 = 4
Clearly, Quantity B(4) > Quantity A(2)
So, Answer will be B
Hope it helps!
Watch the following video to learn How to Sequence problems
gmatclubot
The first six terms of an infinite sequence are 2, 4, 4, 3, 7, 5 and t [#permalink]
20 Oct 2022, 07:43
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