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Chapter 12: Q. 244 (page 1217)

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

an=-1nn2

Short Answer

Expert verified

The first five terms of the sequence with general terman=-1nn2.

Step by step solution

01

Step 1. Given information.

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

an=-1nn2

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=(-1)n n2    an=(-1)n n2     an=(-1)n n2     an=(-1)n n2     an=(-1)n n2a1=(-1)1 12   a2=(-1)2 22    a3=(-1)3 32     a4=(-1)4 42    a5=(-1)5 52a1=-1        a2=14       a3=-19       a4=116        a5=-125

The first five terms of the sequence are-1,14,-19,116and-125.

03

Step 3. Conclusion.

Hence, the first five terms of the sequence are-1,14,-19,116and-125.

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