Question

Pls help me it geometry

Answer 1

1/36

Explanation:

If you write the first number as a fraction also, 1/1, then every term has a 1 on top of a fraction.

The denominators (number on the bottom) are

1, 4, 9, 16, 25, this is a list of perfect squares. That is

1 = 1×1 = 1^2

4 = 2×2 = 2^2

9 = 3×3 = 3^2

16 = 4×4 = 4^2

25 = 5×5 = 5^2

So the next number is

6×6 = 6^2

= 36

36 is on the bottom. 1 is on the top.

The next number is 1/36.

Answer 2

Let's solve this problem step-by-step:

First let's convert 1 to 1/1:

⇒ Sequence:
`(1)/(1),(1)/(4), (1)/(9), (1)/(16), (1)/(25) ,..`

Now let's consider a few things:

• the numerator of each of the fractions don't change
• the denominators are all perfect squares:

⇒ 1, 4, 9, 16 ,25, 36

The perfect square that comes after 25:

⇒ is 36

⇒ which is the denominator of the fraction that comes after
`(1)/(25)`

Answer:
`(1)/(36)`

Hope that helps!