Adriana is planning to ride the public bus to and from school this year. She wants to figure out how much it will cost her. The
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Given the sequence:
6, 10, 14, 18,...
We will find the 75th term
The given sequence is an arithmetic sequence
Because there is a constant common differnce
d = 18 - 14 = 14 - 10 = 10 - 6 = 4
The first term = a = 6
The general formula of the arithmetic sequence is as follows:
Where: n is the nth term
To find the 75th term, substitute with n = 75 and a = 6, d = 4
So, the answer will be the 75th term = 302
Ok first we can split it in two : 
and 
.
The derivative of is 3.
For the first part, we use the chain rule :![[f(g(x))]'=g'(x)f'(g(x))](https://tex.z-dn.net/?f=%5Bf%28g%28x%29%29%5D%27%3Dg%27%28x%29f%27%28g%28x%29%29)
hence 
(since the derivative of the exponential is itself) hence 
The derivative of
For the first part, we use the chain rule :