Question

Find the 75th term of the following6, 10, 14, 18,

Answer 1

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:

$a_n=a+d(n-1)$

Where: n is the nth term

To find the 75th term, substitute with n = 75 and a = 6, d = 4

$a_{75}=6+4\cdot(75-1)=302$

So, the answer will be the 75th term = 302