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Chapter 12: Q. 240 (page 1217)

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

an=7n-5

Short Answer

Expert verified

The first five terms of the sequence with general term an=7n-5are 2, 9, 16, 23 and 30.

Step by step solution

01

Step 1. Given information 

Write the first five terms of the sequence whose general term is given as

an=7n-5.

02

Step 2. Calculating the first five terms.

We substitute the values 1, 2, 3, 4, 5 into the formula for the general term.

an=7n-5     an=7n-5     an=7n-5     an=7n-5     an=7n-5a1=7·1-5    a2=7·2-5    a3=7·3-5     a4=7·4-5    a5=7·5-5a1=2         a2=9        a3=16        a4=23        a5=30

The first five terms of the sequence are 2,9,16,23 and 30.

03

Step 3. Conclusion.

Hence, the first five terms of the sequence are 2, 9, 16, 23 and 30.

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