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91Ó°ÊÓ

In the following exercises, write the first five terms of the sequence whose general term is givenan=2n−7

Short Answer

Expert verified

The first five terms of the sequence whose general term isan=2n−7are−5,−3,−1,1,3.

Step by step solution

01

Step 1. Given information

Thegeneraltermforthesequenceisgivenasan=2n−7Wehavetofindthefirstfivetermsofthesequence.

02

Step 2. Calculating the first five terms.

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

n12345ana1=21−7=2−7=−5a2=22−7=4−7=−3a3=23−7=6−7=−1a4=24−7=8−7=1a5=25−7=10−7=3

03

Step 3. Conclusion

From the above step, we can conclude that the first five terms of the sequence will be −5,−3,−1,1,3.

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