Question

Find the 100th and the nth term for each of the following sequences.1 ​, 4 ​, 7 ​, 10 ​, .

Answer 1

Answer: The value of 100 th term is 298 and the value of n th term is 1+3n.

Explanation:

Since we have given that

1,4,7,10............

Since it forms an A.P. in which

a = 1

d =
`4-1 =3`

So, the value of 100 th term is given by

`a_(100)=a+(n-1)d\\\\a_(100)=1+(100-1)* 3\\\\a_(100)=1+99* 3\\\\a_(100)=1+297\\\\a_(100)=298`

And the value of n th term is given by

`a_n=1+3n`

Hence, the value of 100 th term is 298 and the value of n th term is 1+3n.