Question

Find the common difference of the arithmetic sequence -4, -12, -20,...−4,−12,−20,...

Answer 1

The common ratio of the given arithmetic sequence -4, -12, -20 is -8.

According to the given question.

We have an aritmetic sequence -4, -12, -20.

So, the first term $a_{1}$ of the given  arithmetic sequence is -4 i.e

$a_{1} =-4$

The second term of the given arithmetic sequence is -12 i.e.

$a_{2} = -12$

As, we know that the common ratio d, of the arithmetic sequence is given by

$d = a_{n} - a_{n-1}$

Thereofore,

the common ratio of the given arithmetic sequence will be  

d = -12 -(-4)

⇒ d = -12+ 4

⇒ d = -8

Hence, the common ratio of the given arithmetic sequence -4, -12, -20 is -8.

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