Answer to Problem of the Month for December 2015

Each of these five sequences follows a logical progression.
What is the missing element in each sequence?

Solution to the Problem:

The answers are:
(#1) 25 (#2) 4 (#3) 7 (#4) Q (#5) 4

#1 When moving down or to the right, the difference between each successive pair of numbers increases by 1. Thus, 5 + 2 = 7, 7 + 3 = 10, 10 + 4 = 14, 14 + 5 = 19, and 19 + 6 = 25.

#2 Add 2 adjacent numbers and subtract 6 to get the number below and between them.

#3 Multiply the top by the bottom left corner and then add the bottom right corner to the product.

#4 Each equation is true if each letter is assigned the value of its position in the alphabet. (A = 1, B = 2, C = 3, etc.)

#5 Starting at either end of either row, add the first and third digits together, then subtract the second digit to get the number above it.

Correctly solved by:

1. James Alarie	Flint, Michigan
2. Sierra Walker	Mountain View High School, Mountain View, Wyoming
3. McKenzie Martin	Mountain View High School, Mountain View, Wyoming
4. Ailee Bugas	Mountain View High School, Mountain View, Wyoming
5. Seth Parkinson	Mountain View High School, Mountain View, Wyoming
6. Britan Woody	Mountain View High School, Mountain View, Wyoming

December 2015 Problem of the Month

Correctly solved by:

December 2015
Problem of the Month