Inductive Reasoning

Homework:

Worksheet on inductive reasoning. Find the next number in the pattern and EXPLAIN how it was found.

Notes:

Deductive reasoning-A form of reasoning by which each conclusion follows from the previous one. (i.e. Memorizing the alphabet, multiplication tables, counting)

Inductive reasoning-A form of reasoning in which a conclusion is reached based on a pattern present in numerous observations. (i.e. 4, 7, 10, 13 have nothing in common, except they are 3 apart from each other.)

Sequences - a string of numbers that are tied together with some sort of consistent rule.

Example 1:5, 7, 11, 17, 25 the next numbers will be 35, 47, 61 the pattern is to add the next even numbers.

Example 2:7, -7, 14, -42, 168 the pattern is to multiply by next negative integers. The next numbers will be -840 ,5040, -35280.

Example 3: 100, 97, 88, 61 the next numbers would be -20, -263, -992. The pattern is to subtract by the next power of three.

Tips to figure out patterns with shapes:
Look for: counter clockwise and clockwise changes, count sides, count lines , changes in direction.