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Chapter 12: Q. 2 (page 1173)

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

an=5n鈭�1

Short Answer

Expert verified

The first five terms of the sequence whose general term isan=5n鈭�1are4,9,14,19,24.

Step by step solution

01

Step 1. Given information

Thegeneraltermforthesequenceisgivenasan=5n鈭�1Wehavetofindthefirstfivetermsofthesequence.

02

Step 2. Calculating the first five terms.

Wewillsubstituten=1,2,3,4and5intheordertoobtainthefirstfivetermsofthesequence.Now,

n12345ana1=51鈭�1=5鈭�1=4a2=52鈭�1=10鈭�1=9a3=53鈭�1=15鈭�1=14a4=54鈭�1=20鈭�1=19a5=55鈭�1=25鈭�1=24
03

Step 3. Conclusion

From the above step, we can observe that the first five terms of the sequence will be4,9,14,19,24

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