Question

Please Help!! and explain in detail!!!!

What is a possible next term of this sequence: 1,0.25,0.111... 0.625,0.04?

Answer 1

1/36 = 0.02777...

Explanation:

Given the sequence 1, 0.25, 0.111..., 0.0625, 0.04, you would like to know the next term.

Terms

We recognize the decimal values to be equivalent to ...

1, 1/4, 1/9, 1/16, 1/25

That is, they are the reciprocals of successive squares.

Next term

The next term will be the reciprocal of the 6th square:

1/36 = 0.02777...