Can anyone figure out a formula for this it should be simple. Its that +1 formula. Heres the In and Out table?

In Out

1 2

2 4

3 7

4 11

5 16

Top 1 Answers

A few days ago

Geno

Favorite Answer

this one was a pain in the ***

theres no geometric pattern here so you want to find a pattern where some kind of (n+1) or n-1 leaves you with a remainder that gives you a nice geometric pattern

if you work at you’ll end up looking at [(n+1)^2]/2

now if you try that you’ll get

n=1 [(1+1)^2]/2 = 2 – 0

n=2 [(2+1)^2]/2 = 4.5 – .5

and so on n=3 = 8 – 1

n=4 = 12.5-1.5

n=5 = 18 – 2

so looking at the remainders theres a pattern of -n/2 + 1/2

so in the end you get a formula of [(n+1)^2]/2 -n/2 + 1/2

and if you do some factoring you are left with (n^2 + n +2)/2

far from simple but it works =p

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Can anyone figure out a formula for this it should be simple. Its that +1 formula. Heres the In and Out table?

Can anyone figure out a formula for this it should be simple. Its that +1 formula. Heres the In and Out table?

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