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1) A sequence with a_1 = 1 is defined by the recurrence relation a_{n+1} = 2^na_n for all natural numbers n. If a_{23} = 2^p, then what is p?

 

2) What is the value of y$ in the arithmetic sequence y + 6, 12, y?

 

Thanks!cheeky

 Aug 23, 2020
 #1
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1)      

1, 2, 8, 64, 1024.......etc.

 

The "closed form" of your sequence, if I understood it, is: a_n = 2^(1/2 (n - 1) n) 

 

So, a(23) = 2^p = 2^253

 Aug 23, 2020
 #2
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Thank you! it was correctsmileynumber 2...?

Guest Aug 23, 2020

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