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The terms of the sequence a_n are 2, 5, 10, 17, 26, 37. .  The product of the 97th term and 98th term is the nth term. Find n.

 Dec 9, 2019

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 #1
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The function is x2+1, and the product of the 97th term and the 98th term would be

This "n" would equal:

\(\sqrt{(97^2+1)(98^2+1)-1}\)

\(= \)\(\sqrt{97^298^2+98^2+97^2}\)

\(=\)\(\sqrt{90364036+9604+9409}\)

\(= \)\(\sqrt{90383049}\)

\(=\)\(9507\)

 

-Random Person :)

 Dec 9, 2019
 #1
avatar+12 
+1
Best Answer

The function is x2+1, and the product of the 97th term and the 98th term would be

This "n" would equal:

\(\sqrt{(97^2+1)(98^2+1)-1}\)

\(= \)\(\sqrt{97^298^2+98^2+97^2}\)

\(=\)\(\sqrt{90364036+9604+9409}\)

\(= \)\(\sqrt{90383049}\)

\(=\)\(9507\)

 

-Random Person :)

RandomPerson Dec 9, 2019

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