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In a certain sequence, when you subtract the Mth element from the (M-1

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In a certain sequence, when you subtract the Mth element from the (M-1  [#permalink]

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New post 02 Apr 2018, 01:17
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In a certain sequence, when you subtract the Mth element from the (M-1)th element, you get twice the Mth element (M is any positive integer). What is the fourth element of this sequence?

(1) The first element of the sequence is 1.
(2) The third element of the sequence is 1/9.

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Re: In a certain sequence, when you subtract the Mth element from the (M-1  [#permalink]

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New post 02 Apr 2018, 01:29
Bunuel wrote:
In a certain sequence, when you subtract the Mth element from the (M-1)th element, you get twice the Mth element (M is any positive integer). What is the fourth element of this sequence?

(1) The first element of the sequence is 1.
(2) The third element of the sequence is 1/9.


Since the given rule tells us how to calculate one element in a sequence based on the one before/after it, then to know the value of the fourth element, all we need to know is the value of one of the elements.
We'll look for statements that give us this information, a Logical approach.

(1) gives us the first element and is sufficient.
(2) gives us the third element and is sufficient.

(D) is our answer.

Note that you don't actually need to calculate that the given rule is 'the Mth element is 1/3 the (M-1)th element' in order to solve the above.
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Re: In a certain sequence, when you subtract the Mth element from the (M-1  [#permalink]

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New post 02 Apr 2018, 01:54
Bunuel wrote:
In a certain sequence, when you subtract the Mth element from the (M-1)th element, you get twice the Mth element (M is any positive integer). What is the fourth element of this sequence?

(1) The first element of the sequence is 1.
(2) The third element of the sequence is 1/9.


Check NEWEST addition to Ultimate GMAT Quantitative Megathread:

'Sequences Made Easy - All in One Topic!'


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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: In a certain sequence, when you subtract the Mth element from the (M-1 &nbs [#permalink] 02 Apr 2018, 01:54
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