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Chapter 8: Problem 7

Write the first four terms of each sequence whose general term is given. $$a_{n}=(-1)^{n}(n+3)$$

Short Answer

Expert verified
The first four terms of the sequence are -4, 5, -6, and 7.

Step by step solution

01

Calculate First Term

Plug the value \(n=1\) into the function \(a_{n}=(-1)^{n}(n+3)\), which results in \(a_{1}=(-1)^1 * (1+3) = -4\).
02

Calculate Second Term

Substitute \(n=2\) into the function \(a_{n}=(-1)^{n}(n+3)\), yielding \(a_{2}=(-1)^2 * (2+3) = 5\).
03

Calculate Third Term

Substitute \(n=3\) into the function \(a_{n} = (-1)^{n}(n+3)\), which gives \(a_{3}=(-1)^3 * (3+3) = -6\).
04

Calculate Fourth Term

Plug in \(n=4\) into the function \(a_{n}=(-1)^{n}(n+3)\), producing \(a_{4}=(-1)^4 * (4+3) = 7\).

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