Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

# what are the next two numbers in this pattern? 1, (1/4), (1/9), (1/16)?

Relevance

1/25 , 1/36

K(n) = 1/n^2

K(1) =1/1 =1

K(2) =1/2^2 =1/4

k(3) =1/3^2 =1/9

k(4) =1/4^2 =1/16

k(5) =1/5^2 =1/25

K(6) =1/6^2 =1/36

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• Notice that the first term (1) is 1/1², the second term (1/4) is 1/2², the third term (1/9) is 1/3², etc. In general, the nth term is 1/n². So, the next two numbers are 1/5² and 1/6², which are 1/25 and 1/36. Hope that helps :)

• Anonymous
9 years ago

1/25 its just 1 over 1^2 then 1 over 2^2 then 1 over 3 ^2 and so on so i just did 1 over 5^2 since that was the next number

• This series is of the form 1/x^2 where x = 1,2,3 ... so the next two entries would be 1/25 and 1/36

• 1 = 1 / (1^2)

1/4 = 1 / (2^2)

1/9 = 1 / (3^2)

1/16 = 1 / (4^2)

...

1/25 = 1 / (5^2)

1/36 = 1 / (6^2)

1/49 = 1 / (7^2)

1/64 = 1 / (8^2)

1/81 = 1 / (9^2)

1/100 = 1 / (10^2)

...

• The pattern is quite simple. It simply 1 and the square of 1,2,3... So the answer is 1/25 and 1/36.

• 1/25 and 1/36

Each number in the series can be found by using the formula n=1/n²

• Anonymous
9 years ago

1 / 25

The pattern is that the denominator (bottom number) is a squared number