Question

Write a linear equation that represents the arithmetic sequence 10,8,6,4

Answer 1

Consider the arithmetic sequence as given:

10, 8, 6, 4

We have to determine the linear equation which represents the given arithmetic sequence.

Since, the nth term of the arithmetic sequence is given by the formula as:

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

So, substituting the values of 'a' and 'd' in the given formula, we get

$a_n = 10+(n-1)(-2)$

$a_n = 10-2n+2$

$a_n = 12-2n$

So, the linear equation which represents the given arithmetic sequence is $a_n = 12-2n$.