# Inductive reasoning...?

Pattern:

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

How is this pattern so?

My teacher just gives us random pages, so I have no clue because the book doesn't explain well. Honestly, can you help please?

Please explain symbols too... :o)

### 5 Answers

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- 1 decade agoFavorite Answer
1/1 squared = 1

1/2 squared = 1/4

1/3 squared = 1/9

1/4 squared = 1/16...

So f(x)=1/(n+1)^2...or in words...1 over (n+1) squared...

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- alrivera_1Lv 41 decade ago
Ok, another inductive reasoning problem for Labor Day!

Please note that the series is of the following form:

1/(n^2)....where n = 1,2,3,4,.....

For example, 1/4 = 1/(2^2)

1/9 = 1/(3^2)

1/16 = 1/(4^2)

The next term 1/25 = 1/(5^2)

Good luck!

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- 1 decade ago
1/x squared:

1/1 squared

1/2 squared

1/3 squared

see the pattern?

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