SOLUTION: Select the option for "?" that continues the pattern 2,7,26,101,400,? 7,16,8,27,9,? 7,21,8,72,9,?

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Question 971325: Select the option for "?" that continues the pattern
2,7,26,101,400,?
7,16,8,27,9,?
7,21,8,72,9,?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
2,7,26,101,400,?
The recursion formula seems to be:













Answer: 1595

-----------------

7,16,8,27,9,?
The odd-numbered terms are going 7, 8, 9, 10, ...
The even numbered terms are going 16,27, which is 8*2,9*3,so 10*4

Answer: 10*4 = 40

-----------------

7,21,8,72,9,?
The odd-numbered terms are going 7, 8, 9, 10, ... 
The even-numbered terms are going 7×3¹, 8×3², 9×3³, 10×3⁵, ..

Answer:  9×3³ = 9×27 = 243

Edwin
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