Math for teachers 1 exam

Figurative Numbers

Numbers based off shapes.

Pentagonal Numbers

Pn=n(3n-1)/2

Logical argument

Premise + Conclusion

Conclusion

Result of reasoning.

Square Numbers

Sn=n²

Method of Successive differences

Subtract first term from the second term.

Term

The individual numbers in a sequence.

Triangular Numbers

Tn=n(n+1)/2

Number Sequence

list of numbers.

Natural Numbers

1,2,3,4

Base

12ⁿ <- number on the bottom

Exponent

12ⁿ <-- number at the top

Geometric

Any term after the first is obtained by multiplying by the previous term

Common Differences

Any term after the first is obtained by subtracting it from the previous term.

Deductive Reasoning

Applying general principles to specific examples.

Premise

Assumption, law, rule, widely held idea.

Inductive Reasoning

Drawing a general conclusion from repeated observations of specific examples.

Arithmetic Sequence

Each term after the first is obtained by adding the same number.

Conjecture

Guess using what you know and patterns you see.