# Math HELP... Patterns... (Inductive reasoning I think...)?

What is the pattern: 4, 6, 9, 13 1/2

13 1/2= 13.5 by the way...

I don't understand & have to also give the inductive reasoning or whatever it's called...

Update:

I'm in the 8th grade here... can you say it simpler? Please?

### 3 Answers

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- alrivera_1Lv 41 decade agoFavorite Answer
Ok, let's see this one.

First element: 4

Second : 6 Difference = 2 = 4/2 + 4

Third : 9 Difference = 3 = 6/2 + 6

Fourth : 13.5 Difference = 4.5 = 9/2 + 9

The series works as follows:

n element = (The previous element)/2 + Previous Element

Easy as cake! Good Luck.

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- 1 decade ago
4+2=6

6+(2*1.5)=9

9+(3*1.5)=13.5

13.5+(4.5*1.5)=20.25

20.25+(6.75*1.5)=30.375

the next number is the total plus the difference between the two prior numbers in the sequence multiplied by 1.5 gives the next number in the sequence

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