Nth term
a sequence of numbers is shown: 2, 9, 16, 23, 30
(a) find an expression for the nth term of the sequence.
(b) find the 100th term in the sequence.
for your answers. much appreciated for your .

So, we have a common difference of 7 (9 - 2 = 16 - 9 is true)
For an arithmetic sequence, we have a generalised form:

, where is the first term, n is the nth place, and d is the common difference.

Now, to find the nth term, we substitute n as n to get:



Hence, to find the 100th term, we substitute n as 100 to get:






Thus, the 100th term is 695.