QUESTIONS WITH VERIFIED ANSWER 2026
The conclusion formed by using inductive reasoning, since it may or may not be
correct. - CORRECT ANSWER Conjecture
Is the process of reaching a general conclusion by examining specific examples. -
CORRECT ANSWER Inductive reasoning
When you examine a list of numbers and predict the next number in the list
according to some pattern, you are using inductive reasoning. - CORRECT ANSWER
Example of inductive reasoning
If you can find one case for which a statement is not true, then the statement is a
false statement. - CORRECT ANSWER Counterexample
Is the process of reaching a conclusion by applying general assumptions,
procedures, or principles. - CORRECT ANSWER Deductive reasoning
Solving logic puzzles. - CORRECT ANSWER Example of deductive reasoning
An ordered list of numbers such as 5, 14, 27, 44, 65,... - CORRECT ANSWER
Sequence
The numbers in a sequence that are separated by commas. - CORRECT ANSWER
Terms
, It is customary to use the subscript notation an for the nth term. That is a₁
represents the first term of a sequence. a₂ represents the second term of a
sequence. a₃ represents the third term of a sequence...an represents the nth
term. - CORRECT ANSWER nth term of a sequence
Shows the differences between successive terms of the sequence. - CORRECT
ANSWER Difference table
Are in row 1. Are the differences of the terms (numbers). - CORRECT ANSWER First
differences
Are are in row 2. Are the differences of the first differences. - CORRECT ANSWER
Second differences
Are in row 3. Are the differences of the second differences. - CORRECT ANSWER
Third differences
Used to predict next term of a sequence. In some cases we can use patterns to
predict a formula. - CORRECT ANSWER nth term formula for a sequence
The unending sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, ... where each term is defined as
the sum of its two predecessors. - CORRECT ANSWER Fibonacci sequence
Is one in which each successive term of the sequence is defined by using some of
the preceding terms. - CORRECT ANSWER Recursive definition for a sequence