Question

What is the conjecture of 1, 8, 27, 64, __, __, __, __, __, what is the pattern?

Answer 1

Answer:

The pattern = 1³, 2³ 3³, 4³, 5³, 6³, 7³, 8³, 9³,

The answer = 1, 8, 27, 64, 125, 216, 343, 512, 729,

Step-by-step explanation:

what is the pattern?

We are given the following sequence:

1, 8, 27, 64, __, __, __, __, __,

Observing the sequence above, for every consecutive natural number

x, x + 1, x + 2, x + 3.......

The above pattern is : the cube of every consecutive natural number. That is: x³, (x + 1)³, (x + 2)³, (x + 3)⁴

1, 8, 27, 64, __, __, __, __, __,

= 1³, 2³ 3³, 4³, 5³, 6³, 7³, 8³, 9³,

Hence, the answer

1, 8, 27, 64, 125, 216, 343, 512, 729,