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Chapter 12: Q. 14 (page 1173)

In the following exercise, write the first five terms of the sequence whose general term is given.

an=鈭�1n鈰�3n

Short Answer

Expert verified

The first five terms of the sequence whose general term isan=鈭�1n鈰�3nare鈭�3,6,鈭�9,12,鈭�15.

Step by step solution

01

Step 1. Given information

Thegeneraltermisgivenasan=鈭�1n鈰�3nWehavetofindthefirstfivetermsofthesequence.

02

Step 2. Step 2. Calculating the terms 

Wewillsubstituten=1,2,3,4and5inordertofindtheterms.Now,

n:12345an:a1=鈭�11鈰�31=鈭�1鈰�3=鈭�3a2=鈭�12鈰�32=1鈰�6=6a3=鈭�13鈰�33=鈭�1鈰�9=鈭�9a4=鈭�14鈰�34=1鈰�12=12a5=鈭�15鈰�35=鈭�1鈰�15=鈭�15
03

Step 3. Conclusion

From the above step, we can conclude that the first five terms of the sequence will be鈭�3,6,鈭�9,12,鈭�15.

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