Question

What is r the common ration in the geometic sequence 2, -14, 98, -687

Answer 1

Answer:

r is -7

Step-by-step explanation:

(I believe that you mistyped and meant that the fourth term in the sequence should be -686)

The easiest way to find the common ratio is to divide the numbers that are adjacent to each other

$\frac{-14}{2} =-7\\\\\frac{98}{-14} =-7\\\\\frac{-686}{98} =-7$

As you can see, when we divide a term by its previous term, we get -7 every time. This is our common ratio.