Question

Observe the pattern given below.
2, 6, 10, 14, ...
The algebraic expression for the $n^{\text{th}}$ term of the pattern is .

• A. $4n+2$
• B. $4n-2$
• C. $4n-1$
• D. $2n-2$

Answer 1

The correct option is B $4n-2$

Consider the given pattern.
2, 6, 10, 14, ...
The first term 2 can be written as 4(1) - 2.
The second term 6 can be written as 4(2) - 2.
The third term 10 can be written as 4(3) - 2, and so on.
So, the $n^{\text{th}}$ term of the pattern is given by $4\left(n\right)-2.$
Hence, the algebraic expression for the $n^{\text{th}}$ term of the given pattern is $4n-2.$