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https://web2.0calc.com/questions/i-need-some-help-with-this-other-problem

 Jun 22, 2020
 #1
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a1  =  1

a2  =  21·1  =  21

a3  =  22·2  =  23

a4  =  23·23  =  26

a5  =  24·26  =  210

a6  =  25·210  =  215  

 

The exponents form the triangular numbers:  1, 3, 6, 10, 15, ...

 

The formula for the nth triangular number is  n(n + 1)/2

This will give you the exponent upon 2  --  but be careful  -- for a6, you want the 5th triangular number (etc).

 Jun 22, 2020

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