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Special Numbers and Sequences Problems

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Special Numbers and Sequences Problems [#permalink] New post 24 Jul 2014, 06:35
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This post is a part of the Special Questions Directory focusing on Quant topics traditionally neglected and not covered by conventional sources but still tested on the GMAT. Many of these are above average difficulty questions

Questions about special numbers and sequences. Note that you do NOT need to know or study these numbers or sequences in advance, the questions themselves will contain their definition. If you encounter such kind of questions, read the definition carefully and don't be confused by weird numbers/sequences described there.

A square-free integer: a-positive-integer-is-called-square-free-if-it-has-no-fact-159462.html

A Sophie Germain prime: a-sophie-germain-prime-is-any-positive-prime-number-p-for-132650.html

A Farey sequence: a-farey-sequence-of-order-n-is-the-sequence-of-fractions-129825.html

A “coprime sequence: an-infi-nite-sequence-of-positive-integers-is-called-a-127496.html

A perfect sequence: an-infinite-sequence-of-positive-integers-is-called-a-127696.html

Twin primes: twin-primes-are-defined-as-prime-numbers-that-can-be-express-128433.html

Length of an integer:

Rhyming primes:

The connection between integers: the-connection-between-any-two-positive-integers-a-and-b-128360.html

Sexy primes: a-pair-of-prime-numbers-that-can-be-expressed-in-the-form-p-174141.html

Alpha sequence: an-infinite-sequence-of-positive-integers-is-called-an-alph-55723.html

Beta sequence: an-infinite-sequence-of-positive-integers-is-called-a-beta-151947.html

A repunit number: a-repunit-is-a-positive-integer-that-contains-only-the-digit-174819.html#p1385302


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RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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

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Special Numbers and Sequences Problems   [#permalink] 24 Jul 2014, 06:35
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3 Experts publish their posts in the topic Given a sequence: a_1, a_2, a_3, ... a_{14}, a_{15} In the vagarwal 4 08 Aug 2010, 23:18
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