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The first figure contains 2 dots, the second 6 dots, and the third 12 dots. If the pattern continues, how many dots would the tenth figure contain?

 May 24, 2019
 #1
avatar+18754 
+2

1^2 +1

2^2 +2

3^2 +3

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10^2 + 10 = 110 dots

 May 24, 2019
 #2
avatar+102355 
+1

Nice, EP  !!!!

 

Also note that

 

1*2  = 2

2*3  = 6

3*4  = 12

 

So....it appears that the number of dots in the nth figure  = (n) (n + 1)

 

(10) (10 + 1)  =  10 * 11  =   110

 

 

cool coolcool

 May 24, 2019

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