Question

This pattern is made from black dots. Razi thinks the expression for the nth term for the sequence of the number of black dots is 4n + 2. Odili thinks it is 3n + 3. Min thinks it is 2n + 4. Dakarai thinks it is 2n + 4. Who is correct? Explain how you worked out your answer.

Answer 1

To determine who is correct, we need to observe the pattern of the number of black dots in the given sequence. The expression 4n + 2 matches the pattern of the number of black dots, making Razi correct.

Step-by-step explanation:

To determine who is correct, we need to observe the pattern of the number of black dots in the given sequence. Upon inspection, we can see that the number of black dots in each pattern increases by 2 as n increases by 1. This means that each term can be represented by the expression 2n + (some constant). Now let's compare the given expressions:

• Razi's expression: 4n + 2
• Odili's expression: 3n + 3
• Min and Dakarai's expression: 2n + 4

Comparing the coefficients of n, we can see that Razi's expression matches the pattern of the number of black dots. Therefore, Razi is correct.