Answer:
The option is D
[tex](n+4)^{2} - n^{2} = 8(n + 2)[/tex]
Step-by-step explanation:
Given
[tex](n+4)^{2} - n^{2} = 8(n + 2)[/tex]
put [tex]n=1[/tex] we get
[tex](1+4)^{2}- 1^{2}= 8(1+2)\\5^{2}- 1^{2}= 8\times 3 = 24[/tex]
Similarly,
put [tex]n=2[/tex] we get
[tex](2+4)^{2}- 2^{2} = 8(2+2)\\6^{2}- 2^{2}= 8\times 4 = 32[/tex]
put [tex]n=4[/tex] we get
[tex](4+4)^{2}- 4^{2} = 8(4+2)\\8^{2}- 4^{2} = 8\times 6 = 48[/tex]
