Question

question 5 of 10
which of the following is most likely the next step in the series?

a.

b.

c.

d.

Explanation:

Step1: Count dots in each term

First term: $2 = 1\times2$
Second term: $6 = 2\times3$
Third term: $12 = 3\times4$

Step2: Identify pattern rule

The $n$-th term is $n\times(n+1)$, where $n$ is the term number.

Step3: Calculate 4th term

For $n=4$: $4\times(4+1)=4\times5=20$

Step4: Match to options

Count dots in each option:

• A: 12 dots
• B: 25 dots
• C: 20 dots
• D: 16 dots

Answer:

C. <the 20-dot grid option>