Question

Write a rule to describe the sequence 625, 125, 25, … . Then find the next three terms.

Answer 1

Hey There!

so this sequence is defined as :

$25^{2} ,15^{2} ,5^{2}$

• that means that the difference between the terms is of 10 .

• the next three terms following the same sequence can be :

        25,125,625

• In case , you're wondering how we got the same terms then please refer to the explanation below:

• 5-10 = -5  (now square of -5 is = 25)

• we will henceforth , follow the same trend for the next terms too.

                             HOPE IT HELPS!