Find the next three terms of the sequence below.
80, 20, 5, 5/4,...
My answers: 5/16, 5/64, and 5/256
Right.
To find the next three terms of the given sequence, we need to first identify the pattern or rule that governs the sequence.
Looking at the given sequence 80, 20, 5, 5/4,..., we can observe that each term is obtained by dividing the previous term by 4.
To proceed, we will divide the last term, 5/4, by 4 to find the next term:
(5/4) ÷ 4 = 5/16
Therefore, the next term is 5/16.
To find the term after that, we divide 5/16 by 4:
(5/16) ÷ 4 = 5/64
So, the second next term is 5/64.
Finally, to find the term after that, we divide 5/64 by 4:
(5/64) ÷ 4 = 5/256
Hence, the third next term is 5/256.
Therefore, the next three terms of the given sequence are 5/16, 5/64, and 5/256, which matches your answers.