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Chapter 12: Q. 247 (page 1217)

In the following exercises, find a general term for the sequence whose first five terms are shown.

1e3,1e2,1e,1,e,鈥�

Short Answer

Expert verified

The general term for the given sequence isan=en-4.

Step by step solution

01

Step 1. Given information.

Find a general term for the sequence whose first five terms are shown.

1e3,1e2,1e,1,e,鈥�

02

Step 2. Calculating the pattern.

n:12345...nTerms1e31e21e1e...Patterne鈭�3=e1鈭�4e-2=e2鈭�4e-1=e3鈭�41=e0=e4鈭�4e5鈭�4...en鈭�4

03

Step 3. Conclusion.

From the above table we can observe that the general terms will bean=en-4.

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