Answer:
nth term of this sequence is
and 100th term is .
Step-by-step explanation:
The given sequence is
Now we will find the difference between each successive term.
Second term - First term =
=
=
=
Similarly third term - second term =
So there is a common difference of .
It is an arithmetic sequence for which the explicit formula will be
=a + (n - 1)d
where = nth term of the arithmetic sequence
where a = first term of the arithmetic sequence
n = number of term
d = common difference in each successive term
Now we plug in the values to get the 100th term of the sequence.
=
=
=
Therefore, nth term of this sequence is
and 100th term is .