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.

1. isolate the variable, in this case, d. subtract 35.5 on both sides of the equation.2. 52 subtracted by 35.5 is 16.53. therefore your answer would be d= 16.5this is the basics of pre algebra, isolating variable through adding, subtracting, multiplying, and dividing, if you have any other questions to ask just comment!