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:
[tex]a_n=a+d(n-1)[/tex]Where: n is the nth term
To find the 75th term, substitute with n = 75 and a = 6, d = 4
[tex]a_{75}=6+4\cdot(75-1)=302[/tex]So, the answer will be the 75th term = 302
