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# help

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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

### Best Answer

#1
+12
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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+0 Answers

#1
+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