perplexus.info :: Sequences : Sequence and Pattern Exam

Sequence and Pattern Exam (Posted on 2003-07-30)

Following are several sets of numbers based on particular (and different) patterns (though not necessarily mathematical patterns), arranged from least difficult to most difficult, and with corresponding point values. The maximum score is 100 - how high can you get? If your answer doesn't match the one I submitted, but makes sense, you may credit yourself the points.

(1):(2 points):(3, 3, 5, 4, 4, 3, 5, 5, 4, 3, 6, 6, 8, ?)

(2):(4 points):(1888, 1892, 1896, 1904, ?)

(3):(5 points):(1, 12, 1, 1, 1, 2, ?)

(4):(6 points):(0, 1, 256, 2187, 4096, 3125, 1296, ?, 64, 9, 1)

(5):(9 points):(1, 22, 12, 5, 26, 16, 7, 28, 18, ?)

(6):(12 points):(2, 4, 5, 6, 9, ?, 15, 21, 26)

(7):(15 points):(0, 4, 7, 0, 2, 4, 6, 8, 0, 1, 3, 4, ?)

(8):(21 points):(6, 10, 14, 15, 21, 22, 26, 33, 34, 35, ?)

(9):(26 points):(0.4330, 1.0000, 1.7205, 2.5981, 3.6339, 4.8284, 6.1818, ?)

Submitted by Cory Taylor

Rating: 4.6667 (3 votes)

Solution: (Hide)

1: 8. Each term is the number of letters in progressive numbers, starting at 1 (one=3).
2: 1908. Years containing February 29. 1900 is not a leap year.
3: 1. Number of chimes a clock stricks starting between 11 and 11:30 (11:30 has 1 chime, 12:00 has 12 chimes, 12:30, 1:00 and 1:30 all have 1 chime...).
4: 343. The first term is 0^10. Each term thereafter adds one to the base and subtracts one from the exponent.
5: 9. Beginning January 1 (not in a leap year), the day portion of the date every 3 weeks.
6: 12. These numbers are the point values for the questions in this quiz!.
7: 6. First digit after the decimal in progressive roots, beginning at 1 (root 1=1.0, root 2=1.4, root 3=1.7, root 4=2.0 etc.).
8: 38. This sequence is defined as increasing products of 2 distinct primes (2*3,2*5,2*7,3*5...).
9: 7.6942. Good job if you got this one!!! These are 4 decimal representations of the area of regular polygons with a common side length (i.e. equilateral triangle w/ side 1 has area=0.4330, square with side 1 has area=1.0000 etc.).

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Education	Jayden Neild	2021-10-18 03:58:33
Education	Alexander Magoffin	2021-09-28 11:03:17
sequence 3	pleasance	2003-08-01 05:53:35
Some more answers	DJ	2003-08-01 03:10:00
Solutions for 7 & 8	fwaff	2003-07-30 21:17:13
(5)	Bryan	2003-07-30 11:54:25
Starters	DJ	2003-07-30 09:10:58

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