Answer:
2nd term = 11
5th term = 74
Step-by-step explanation:
3n² - 1
n = 2 , 2nd term = 3*2² - 1
= 3*4 -1
= 12 - 1
= 11
n= 5 , 5th term = 3*5² - 1
= 3*25 - 1
= 75 - 1
= 74
Step-by-step explanation:
in[tex]\tt{3n^2-1 }[/tex] ⠀
If n=2
so,
2nd term=⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{3×2^2-1 }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{ 3×4-1 }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{ 12-1 }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{ 11 }[/tex] ⠀
If n=5
so,
5th term =
[tex]\rightsquigarrow[/tex] [tex]\tt{ 3×5^2-1 }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{ 3×25-1 }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{75-1 }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{74 }[/tex]
