Test on Introduction to Numerical Sequences
Introduction to Numerical Sequences: Rules & Examples
Test: Mathematics sequences
20 questions
Question 1: In the provided sequence table, the 'Term' values are identical to the 'Multiples of 3' values for each corresponding position.
A. Ano
B. Ne
Explanation: For position 1, the Term is 4 while the Multiple of 3 is 3. For position 2, the Term is 7 while the Multiple of 3 is 6. These values are not identical, demonstrating that the 'Term' values do not directly represent the 'Multiples of 3' values.
Question 2: The study materials suggest that deriving a position-to-term rule for a sequence like 18, 16, 14, 12, 10... primarily involves determining the first term and then repeatedly adding the term-to-term rule.
A. Ano
B. Ne
Explanation: The study materials show that for a sequence like 18, 16, 14, 12, 10..., the position-to-term rule is derived by identifying the common difference (which is -2) and then adjusting it with a constant (20), resulting in -2n+20. It does not primarily suggest repeatedly adding the term-to-term rule after determining the first term to derive the position-to-term rule; instead, it uses the common difference to form the 'n' part of the rule and then finds the constant adjustment.
Question 3: The provided example of a position-to-term rule for the sequence 18, 16, 14, 12, 10... uses a positive coefficient for 'n' in its algebraic expression.
A. Ano
B. Ne
Explanation: The study materials state that for the sequence 18, 16, 14, 12, 10..., the position-to-term rule is "Term = -2x position number + 20" or "-2n+20". The coefficient for 'n' (or 'position number') is -2, which is a negative number, not a positive one.
Question 4: The 21st term of the sequence 18, 16, 14, 12, 10... is -22 when using the position-to-term rule -2n+20.
A. Ano
B. Ne
Explanation: The study material provides the sequence 18, 16, 14, 12, 10... and states its position-to-term rule is -2n+20. It also shows that the 21st term calculated using this rule is -22. When n=21, -2(21) + 20 = -42 + 20 = -22.
Question 5: For the sequence 10, 9.8, 9.6, 9.4, ..., the next term is 9.2 following a decimal term-to-term rule.
A. Ano
B. Ne
Explanation: The sequence decreases by 0.2 each term. Starting from 9.4, subtracting 0.2 gives 9.2. This is based on the provided example: 9.4 - 0.2 = 9.2, where the term-to-term rule is to subtract 0.2.