Answer: The value of 100 th term is 298 and the value of n th term is 1+3n.
Step-by-step explanation:
Since we have given that
1,4,7,10............
Since it forms an A.P. in which
a = 1
d = [tex]4-1 =3[/tex]
So, the value of 100 th term is given by
[tex]a_{100}=a+(n-1)d\\\\a_{100}=1+(100-1)\times 3\\\\a_{100}=1+99\times 3\\\\a_{100}=1+297\\\\a_{100}=298[/tex]
And the value of n th term is given by
[tex]a_n=1+3n[/tex]
Hence, the value of 100 th term is 298 and the value of n th term is 1+3n.
