Considering the following pattern
$\frac{(2 + 2)^2}{2} = 8$ , $\frac{(4 + 2)^2}{2} = 18$ , $\frac{(6 + 2)^2}{2} = 32$ , $\frac{(8 + 2)^2}{2} = 50$ , $\frac{(10 + 2)^2}{2} = 72$ , . . . . .
the 7th line in the pattern will be

Question

Considering the following pattern

\frac{(2 + 2)^2}{2} = 8

,

\frac{(4 + 2)^2}{2} = 18

,

\frac{(6 + 2)^2}{2} = 32

,

\frac{(8 + 2)^2}{2} = 50

,

\frac{(10 + 2)^2}{2} = 72

, . . . . .
the 7th line in the pattern will be

Accepted Answer

A - $\frac{(14 + 2)^2}{2} = 128$. Line $k$ is $\frac{(2k+2)^2}{2}$. Line 7: $\frac{(14+2)^2}{2} = \frac{256}{2} = 128$.

Answer

B - $\frac{(16 + 2)^2}{2} = 162$

Answer

C - $\frac{(18 + 2)^2}{2} = 200$

Answer

D - $\frac{(12 + 2)^2}{2} = 98$

Considering the following pattern \(\frac{(2 + 2)^2}{2} = 8\), \(\frac{(4 + 2)^2}{2} = 18\), \(\frac{(6 + 2)^2}{2} = 32\), \(\frac{(8 + 2)^2}{2} = 50\), \(\frac{(10 + 2)^2}{2} = 72\), . . . . . the…