Page 12 - Module 1_Chapter 1_Mathematics in the Modern World

Mathematics in our World
2

Example 1 Example 4

What number or numbers comes next What number comes next in 1, 4, 9, 16, 25,
in this series? ___?
1 22 333 4444 55555 666666

Solution: The missing number is 36. This
Solution: The next number is is the square number sequence, of the

7777777: 1 one, 2 twos, 3 threes, form n , that is
2
4 fours, 5 fives, 6 sixes, and 7 1 x 1 = 1
sevens. 2 x 2 = 4

3 x 3 = 9
4 x 4 = 16
Example 2 5 x 5 = 25

What comes next in the pattern below? 6 x 6 = 36

Example 5
What comes next in the pattern below?

A B C
Solution: Answer (C). The triangle
changes in clockwise direction and

the shaded area alternatively
changes

A B C
Example 3

What number comes next in 1, 3, 5, 7, Solution: Answer (C). The arrow
9, ___? changes direction and the shape
on the right has one more side

Solution: The sequence is than its counterpart on the left
increasing, with each term being
two more than the previous term:

3 = 1 + 2; 5 = 3 + 2; 7 = 5 + 2;
9 = 7 + 2. Therefore, the next term

should be 11 = 9 + 2.

ZANNIE I. GAMUYAO, MSM UNIT 1.1 Patterns and Numbers in
Assistant Professor 1 Nature and in the World
Department of Arts and Sciences