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The total number of toothpicks also forms a sequence: 4, 12, 24, 40, ... What rule describes this sequence?

Aan=2(n^2+n)
Ban=2n^2
Can=2(n^2+1)
Dan=(n^2+n)/2

The total number of toothpicks also forms a sequence: 4, 12, 24, 40, ... What rule describes this sequence? a. an=2(n 2+n) b. an=2n 2 c. an=2(n 2+1) d. an=(n 2+ class=

Verified Answer :

MissPhiladelphia

 rule describes this sequence is 
 an = 2 ( n^2 + n )

n = 1

 an = 2 ( 1^2 + 1 )
 an = 2 ( 1 + 1 )
 an = 2 ( 2 )
 an =  4

n = 2

 an = 2 ( 2^2 + 2 )
 an = 2 ( 4 + 2 )
 an = 2 ( 6 )
 an =  12

n = 3

 an = 2 ( 3^2 + 3 )
 an = 2 ( 9 + 3 )
 an = 2 ( 12 )
 an =  24

n = 4

 an = 2 ( 4^2 + 4 )
 an = 2 ( 16 + 4 )
 an = 2 ( 20 )
 an =  40

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