Unit 2 Logic and Proof Homework 1 Inductive reasoning


Answer:#1. 13, 18, 23, 28, 33, 38, 4, 48, 53
To generate the next term, add 5 to the previous term.
Step-by-step explanation:18-13=5 see if it is the same for the others and go from there.
Answer:
The answers for this question is given below in the explanation section, kindly refer.
Step-by-step explanation:
Find the next 5 terms:
1) 28 < 33, 38, 43, 48, 53 => In every next term 5 is added.
2) 64 < 32, 16, 8, 4, 2 => In every next step the term is divided by 2.
3) 64 < 125, 216, 343, 512, 729 => In every next step it is a cube of next number.
4) 13 < 17, 19, 23, 29, 31 => In every next term it is the next prime number.
5) V < VI, VII, VIII, IX, X => In every next term it is the next roman numeral.
6) 8 < 13, 21, 34, 56, 90 => In every next term it is the sum of previous two terms.
7) => In every next term the arrows rotate clockwise in direction.
T/F:
8) False => 17+19 = 36, which is not a prime number.
9) True
10) True
11) True
12) True
13) True
14) False => ostrich, penguin, etc.
15) True
16) False => (a + b)² = a² + b² + 2ab