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larisa [96]
3 years ago
14

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

Mathematics
1 answer:
astraxan [27]3 years ago
4 0
<span> rule describes this sequence is 
</span><span> an = 2 ( n^2 + n )

n = 1

</span> 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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