Test on Linear Sequences and Basic Functions

Question 1: The $4^{th}$ term in the sequence generated by the $n^{th}$ term rule $2n+1$ is 10.

A. Ano

B. Ne

Explanation: The $n^{th}$ term rule is $2n+1$. For the $4^{th}$ term, we substitute $n=4$: $2 \times 4 + 1 = 8 + 1 = 9$. Therefore, the $4^{th}$ term is 9, not 10.

Question 2: If the input X is 3 for the function Y = 2X + 1, the output Y is 6.

A. Ano

B. Ne

Explanation: According to the study materials, for the function Y = 2X + 1, if X = 3, then Y = (2 imes 3) + 1 = 6 + 1 = 7. Therefore, an output of 6 is incorrect.

Question 3: Based on the provided study materials, which sequence is generated by the nth term rule '2n+1'?

A. 26, 21, 16, 11

B. 3, 5, 7, 9

C. 1, 2, 3, 4

D. 5, 8, 11, 14

Explanation: The study material explicitly states, 'The $n^{th}$ term rule is $2n+1$' and then lists the sequence '3, 5, 7, 9'. This demonstrates that substituting n=1, 2, 3, 4 into the rule $2n+1$ produces 3, 5, 7, 9 respectively.

Question 4: According to the study materials, what is the value of Y when the INPUT X is 5 for the function Y = 2X + 1?

A. 10

B. 11

C. 9

D. 12

Explanation: The study materials provide the function Y = 2X + 1. To find Y when X is 5, substitute 5 into the function: Y = 2(5) + 1 = 10 + 1 = 11.

Question 5: Is a function a relationship between two sets of numbers?

A. Ano

B. Ne

Explanation: A function is defined as a relationship between two sets of numbers.