Question

2 + 4 + 6 = 12, 3 + 5 + 7 = 15 for such pattern conjecture is

• A. n+2
• B. $n^2$ - n
• C. 3n
• D. 3 + n

Answer 1

The correct option is C 3n

Let middle term for sum of 3 terms be y
hence according to pattern given
Sum of three terms will be
(y-2) + y + (y+2) = y+ y + y - 2 + 2 = 3y
2 + 4 + 6 = 3$\times$(middle term)
= 3$\times$(4) = 12